1036398800 has 30 divisors (see below), whose sum is σ = 2489949078. Its totient is φ = 414559360.

The previous prime is 1036398793. The next prime is 1036398809. The reversal of 1036398800 is 88936301.

It can be written as a sum of positive squares in 3 ways, for example, as 344919184 + 691479616 = 18572^2 + 26296^2 .

It is a super-3 number, since 3×1036398800³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036398809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1295099 + ... + 1295898.

Almost surely, 2^1036398800 is an apocalyptic number.

1036398800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1036398800 is an abundant number, since it is smaller than the sum of its proper divisors (1453550278).

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

1036398800 is a wasteful number, since it uses less digits than its factorization.

1036398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591015 (or 2591004 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1036398800 is about 32193.1483393594. The cubic root of 1036398800 is about 1011.9886316793.

The spelling of 1036398800 in words is "one billion, thirty-six million, three hundred ninety-eight thousand, eight hundred".