38629190088 has 128 divisors (see below), whose sum is σ = 110169561600. Its totient is φ = 12533875200.

The previous prime is 38629190087. The next prime is 38629190099. The reversal of 38629190088 is 88009192683.

It is a happy number.

38629190088 is a `hidden beast` number, since 3 + 8 + 629 + 1 + 9 + 0 + 0 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38629190087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4095618 + ... + 4105038.

It is an arithmetic number, because the mean of its divisors is an integer number (860699700).

Almost surely, 2^38629190088 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 38629190088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55084780800).

38629190088 is an abundant number, since it is smaller than the sum of its proper divisors (71540371512).

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

38629190088 is a wasteful number, since it uses less digits than its factorization.

38629190088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9940 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 38629190088 in words is "thirty-eight billion, six hundred twenty-nine million, one hundred ninety thousand, eighty-eight".