36995400 has 384 divisors, whose sum is σ = 149990400. Its totient is φ = 8294400.

The previous prime is 36995393. The next prime is 36995401. The reversal of 36995400 is 459963.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36995401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1193385 + ... + 1193415.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^36995400 is an apocalyptic number.

36995400 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 36995400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

36995400 is an abundant number, since it is smaller than the sum of its proper divisors (112995000).

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

36995400 is a wasteful number, since it uses less digits than its factorization.

36995400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 36995400 is about 6082.3844008744. The cubic root of 36995400 is about 333.2083753846.

The spelling of 36995400 in words is "thirty-six million, nine hundred ninety-five thousand, four hundred".