36800400 has 240 divisors, whose sum is σ = 145518464. Its totient is φ = 7741440.

The previous prime is 36800383. The next prime is 36800417. The reversal of 36800400 is 400863.

It is an interprime number because it is at equal distance from previous prime (36800383) and next prime (36800417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109032 + ... + 109368.

Almost surely, 2^36800400 is an apocalyptic number.

36800400 is a gapful number since it is divisible by the number (30) 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 36800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72759232).

36800400 is an abundant number, since it is smaller than the sum of its proper divisors (108718064).

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

36800400 is a wasteful number, since it uses less digits than its factorization.

36800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 36800400 is about 6066.3333241753. Note that the first 4 decimals coincide. The cubic root of 36800400 is about 332.6219049112.

The spelling of 36800400 in words is "thirty-six million, eight hundred thousand, four hundred".