1038362880 has 72 divisors (see below), whose sum is σ = 3316283712. Its totient is φ = 276895744.

The previous prime is 1038362833. The next prime is 1038362947. The reversal of 1038362880 is 882638301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131364 + ... + 139043.

It is an arithmetic number, because the mean of its divisors is an integer number (46059496).

Almost surely, 2^1038362880 is an apocalyptic number.

1038362880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038362880 is an abundant number, since it is smaller than the sum of its proper divisors (2277920832).

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

1038362880 is an equidigital number, since it uses as much as digits as its factorization.

1038362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270431 (or 270417 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1038362880 is about 32223.6385282606. The cubic root of 1038362880 is about 1012.6275016998.

The spelling of 1038362880 in words is "one billion, thirty-eight million, three hundred sixty-two thousand, eight hundred eighty".