3854061120 has 448 divisors, whose sum is σ = 15210349056. Its totient is φ = 805109760.

The previous prime is 3854061119. The next prime is 3854061139. The reversal of 3854061120 is 211604583.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13715380 + ... + 13715660.

It is an arithmetic number, because the mean of its divisors is an integer number (33951672).

Almost surely, 2^3854061120 is an apocalyptic number.

3854061120 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 3854061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605174528).

3854061120 is an abundant number, since it is smaller than the sum of its proper divisors (11356287936).

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

3854061120 is a wasteful number, since it uses less digits than its factorization.

3854061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3854061120 is about 62081.0850420641. The cubic root of 3854061120 is about 1567.8560970950.

The spelling of 3854061120 in words is "three billion, eight hundred fifty-four million, sixty-one thousand, one hundred twenty".