3699227750400 has 3120 divisors, whose sum is σ = 17549800699200. Its totient is φ = 753582735360.

The previous prime is 3699227750363. The next prime is 3699227750453. The reversal of 3699227750400 is 40577229963.

3699227750400 is a `hidden beast` number, since 3 + 6 + 9 + 9 + 227 + 7 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 127559577586 + ... + 127559577614.

Almost surely, 2^{3699227750400} is an apocalyptic number.

3699227750400 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 3699227750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774900349600).

3699227750400 is an abundant number, since it is smaller than the sum of its proper divisors (13850572948800).

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

3699227750400 is an equidigital number, since it uses as much as digits as its factorization.

3699227750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 3699227750400 in words is "three trillion, six hundred ninety-nine billion, two hundred twenty-seven million, seven hundred fifty thousand, four hundred".