1038395904 has 640 divisors, whose sum is σ = 3959746560. Its totient is φ = 233570304.

The previous prime is 1038395899. The next prime is 1038395951. The reversal of 1038395904 is 4095938301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45147637 + ... + 45147659.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^1038395904 is an apocalyptic number.

1038395904 is a gapful number since it is divisible by the number (14) 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 1038395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979873280).

1038395904 is an abundant number, since it is smaller than the sum of its proper divisors (2921350656).

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

1038395904 is a wasteful number, since it uses less digits than its factorization.

1038395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1038395904 is about 32224.1509430427. The cubic root of 1038395904 is about 1012.6382367574.

The spelling of 1038395904 in words is "one billion, thirty-eight million, three hundred ninety-five thousand, nine hundred four".