1038996000 has 864 divisors, whose sum is σ = 4660830720. Its totient is φ = 217728000.

The previous prime is 1038995999. The next prime is 1038996041. The reversal of 1038996000 is 6998301.

1038996000 = 140³ + 141³ + ... + 259³.

1038996000 is a `hidden beast` number, since 10 + 38 + 9 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33515985 + ... + 33516015.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2^1038996000 is an apocalyptic number.

1038996000 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 1038996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330415360).

1038996000 is an abundant number, since it is smaller than the sum of its proper divisors (3621834720).

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

1038996000 is a wasteful number, since it uses less digits than its factorization.

1038996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1038996000 is about 32233.4608753078. The cubic root of 1038996000 is about 1012.8332693488.

The spelling of 1038996000 in words is "one billion, thirty-eight million, nine hundred ninety-six thousand".