3774900956832 has 288 divisors, whose sum is σ = 11348745408000. Its totient is φ = 1186929123840.

The previous prime is 3774900956831. The next prime is 3774900956833. The reversal of 3774900956832 is 2386590094773.

3774900956832 is a `hidden beast` number, since 37 + 7 + 4 + 9 + 0 + 0 + 9 + 568 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (3774900956831) and next prime (3774900956833).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3774900956832² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3774900956832.

It is not an unprimeable number, because it can be changed into a prime (3774900956831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907478019 + ... + 1907479997.

It is an arithmetic number, because the mean of its divisors is an integer number (39405366000).

Almost surely, 2^{3774900956832} is an apocalyptic number.

3774900956832 is a gapful number since it is divisible by the number (32) 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 3774900956832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674372704000).

3774900956832 is an abundant number, since it is smaller than the sum of its proper divisors (7573844451168).

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

3774900956832 is a wasteful number, since it uses less digits than its factorization.

3774900956832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3774900956832 in words is "three trillion, seven hundred seventy-four billion, nine hundred million, nine hundred fifty-six thousand, eight hundred thirty-two".