1036038979600 has 45 divisors (see below), whose sum is σ = 2489132557623. Its totient is φ = 414407448960.

The previous prime is 1036038979567. The next prime is 1036038979639. The reversal of 1036038979600 is 69798306301.

The square root of 1036038979600 is 1017860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 631624383504 + 404414596096 = 794748^2 + 635936^2 .

It is a super-3 number, since 3×1036038979600³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20331754 + ... + 20382646.

Almost surely, 2^{1036038979600} is an apocalyptic number.

1036038979600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1036038979600 is the 1017860-th square number.

It is an amenable number.

1036038979600 is an abundant number, since it is smaller than the sum of its proper divisors (1453093578023).

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

1036038979600 is an frugal number, since it uses more digits than its factorization.

1036038979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101804 (or 50900 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 1036038979600 in words is "one trillion, thirty-six billion, thirty-eight million, nine hundred seventy-nine thousand, six hundred".