38802921696 has 960 divisors, whose sum is σ = 151747706880. Its totient is φ = 9429488640.

The previous prime is 38802921623. The next prime is 38802921697. The reversal of 38802921696 is 69612920883.

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 (38802921697) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 362644075 + ... + 362644181.

It is an arithmetic number, because the mean of its divisors is an integer number (158070528).

Almost surely, 2^38802921696 is an apocalyptic number.

38802921696 is a gapful number since it is divisible by the number (36) 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 38802921696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75873853440).

38802921696 is an abundant number, since it is smaller than the sum of its proper divisors (112944785184).

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

38802921696 is a wasteful number, since it uses less digits than its factorization.

38802921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38802921696 in words is "thirty-eight billion, eight hundred two million, nine hundred twenty-one thousand, six hundred ninety-six".