36274400 has 36 divisors (see below), whose sum is σ = 88556832. Its totient is φ = 14509440.

The previous prime is 36274369. The next prime is 36274409. The reversal of 36274400 is 447263.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36274400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36274409) 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, 21872 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (2459912).

Almost surely, 2^36274400 is an apocalyptic number.

It is an amenable number.

36274400 is an abundant number, since it is smaller than the sum of its proper divisors (52282432).

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

36274400 is a wasteful number, since it uses less digits than its factorization.

36274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45363 (or 45350 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 36274400 is about 6022.8232582403. The cubic root of 36274400 is about 331.0295364642.

The spelling of 36274400 in words is "thirty-six million, two hundred seventy-four thousand, four hundred".