3853683900 has 216 divisors, whose sum is σ = 13316428944. Its totient is φ = 924364800.

The previous prime is 3853683877. The next prime is 3853683923. The reversal of 3853683900 is 93863583.

3853683900 is a `hidden beast` number, since 38 + 536 + 83 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3853683877) and next prime (3853683923).

It is a super-2 number, since 2×3853683900² = 29701759202238420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 958294 + ... + 962306.

It is an arithmetic number, because the mean of its divisors is an integer number (61650134).

Almost surely, 2^3853683900 is an apocalyptic number.

3853683900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3853683900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658214472).

3853683900 is an abundant number, since it is smaller than the sum of its proper divisors (9462745044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3853683900 is a wasteful number, since it uses less digits than its factorization.

3853683900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3853683900 is about 62078.0468442750. The cubic root of 3853683900 is about 1567.8049436100.

It can be divided in two parts, 3853683 and 900, that added together give a palindrome (3854583).

The spelling of 3853683900 in words is "three billion, eight hundred fifty-three million, six hundred eighty-three thousand, nine hundred".