1038407216 has 90 divisors (see below), whose sum is σ = 2560531428. Its totient is φ = 403408320.

The previous prime is 1038407207. The next prime is 1038407221. The reversal of 1038407216 is 6127048301.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2992355 + ... + 2992701.

Almost surely, 2^1038407216 is an apocalyptic number.

1038407216 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 1038407216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280265714).

1038407216 is an abundant number, since it is smaller than the sum of its proper divisors (1522124212).

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

1038407216 is an equidigital number, since it uses as much as digits as its factorization.

1038407216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1038407216 is about 32224.3264630931. The cubic root of 1038407216 is about 1012.6419138784.

The spelling of 1038407216 in words is "one billion, thirty-eight million, four hundred seven thousand, two hundred sixteen".