38010674304 has 384 divisors, whose sum is σ = 118809600000. Its totient is φ = 12082037760.

The previous prime is 38010674287. The next prime is 38010674309. The reversal of 38010674304 is 40347601083.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×38010674304² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38010674309) 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, 76173447 + ... + 76173945.

It is an arithmetic number, because the mean of its divisors is an integer number (309400000).

Almost surely, 2^38010674304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38010674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59404800000).

38010674304 is an abundant number, since it is smaller than the sum of its proper divisors (80798925696).

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

38010674304 is an equidigital number, since it uses as much as digits as its factorization.

38010674304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 38010674304 in words is "thirty-eight billion, ten million, six hundred seventy-four thousand, three hundred four".