1038736896 has 80 divisors (see below), whose sum is σ = 2831794944. Its totient is φ = 338171904.

The previous prime is 1038736841. The next prime is 1038736921. The reversal of 1038736896 is 6986378301.

It is a super-2 number, since 2×1038736896² = 2157948678223429632, which contains 22 as substring.

It is a congruent number.

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, 58185 + ... + 73911.

Almost surely, 2^1038736896 is an apocalyptic number.

1038736896 is a gapful number since it is divisible by the number (16) 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 1038736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415897472).

1038736896 is an abundant number, since it is smaller than the sum of its proper divisors (1793058048).

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

1038736896 is an equidigital number, since it uses as much as digits as its factorization.

1038736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15791 (or 15775 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 1038736896 is about 32229.4414472234. The cubic root of 1038736896 is about 1012.7490691628.

The spelling of 1038736896 in words is "one billion, thirty-eight million, seven hundred thirty-six thousand, eight hundred ninety-six".