38629436328 has 512 divisors, whose sum is σ = 134219980800. Its totient is φ = 10044518400.

The previous prime is 38629436297. The next prime is 38629436369. The reversal of 38629436328 is 82363492683.

38629436328 is a `hidden beast` number, since 3 + 8 + 629 + 4 + 3 + 6 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×38629436328² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111323851 + ... + 111324197.

It is an arithmetic number, because the mean of its divisors is an integer number (262148400).

Almost surely, 2^38629436328 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 38629436328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67109990400).

38629436328 is an abundant number, since it is smaller than the sum of its proper divisors (95590544472).

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

38629436328 is a wasteful number, since it uses less digits than its factorization.

38629436328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 38629436328 in words is "thirty-eight billion, six hundred twenty-nine million, four hundred thirty-six thousand, three hundred twenty-eight".