1038956000 has 144 divisors (see below), whose sum is σ = 2673962928. Its totient is φ = 396704000.

The previous prime is 1038955999. The next prime is 1038956053. The reversal of 1038956000 is 6598301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2115755 + ... + 2116245.

It is an arithmetic number, because the mean of its divisors is an integer number (18569187).

Almost surely, 2^1038956000 is an apocalyptic number.

1038956000 is a gapful number since it is divisible by the number (10) 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 1038956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336981464).

1038956000 is an abundant number, since it is smaller than the sum of its proper divisors (1635006928).

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

1038956000 is an equidigital number, since it uses as much as digits as its factorization.

1038956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1038956000 is about 32232.8403960929. The cubic root of 1038956000 is about 1012.8202715924.

The spelling of 1038956000 in words is "one billion, thirty-eight million, nine hundred fifty-six thousand".