38090868192 has 672 divisors, whose sum is σ = 130305466368. Its totient is φ = 10863756288.

The previous prime is 38090868133. The next prime is 38090868199. The reversal of 38090868192 is 29186809083.

It is a happy number.

It is a super-5 number, since 5×38090868192⁵ (a number of 54 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38090868199) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 299928033 + ... + 299928159.

It is an arithmetic number, because the mean of its divisors is an integer number (193906944).

Almost surely, 2^38090868192 is an apocalyptic number.

38090868192 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 38090868192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65152733184).

38090868192 is an abundant number, since it is smaller than the sum of its proper divisors (92214598176).

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

38090868192 is a wasteful number, since it uses less digits than its factorization.

38090868192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

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

The spelling of 38090868192 in words is "thirty-eight billion, ninety million, eight hundred sixty-eight thousand, one hundred ninety-two".