38003900928 has 640 divisors, whose sum is σ = 133500026880. Its totient is φ = 9342812160.

The previous prime is 38003900881. The next prime is 38003900929. The reversal of 38003900928 is 82900930083.

It is a super-2 number, since 2×38003900928² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38003900928.

It is not an unprimeable number, because it can be changed into a prime (38003900929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107659600 + ... + 107659952.

It is an arithmetic number, because the mean of its divisors is an integer number (208593792).

Almost surely, 2^38003900928 is an apocalyptic number.

38003900928 is a gapful number since it is divisible by the number (38) 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 38003900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66750013440).

38003900928 is an abundant number, since it is smaller than the sum of its proper divisors (95496125952).

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

38003900928 is a wasteful number, since it uses less digits than its factorization.

38003900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 38003900928 in words is "thirty-eight billion, three million, nine hundred thousand, nine hundred twenty-eight".