36274800 has 240 divisors, whose sum is σ = 128543360. Its totient is φ = 8709120.

The previous prime is 36274789. The next prime is 36274859. The reversal of 36274800 is 847263.

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

It is a super-2 number, since 2×36274800² = 2631722230080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 843579 + ... + 843621.

Almost surely, 2^36274800 is an apocalyptic number.

36274800 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 36274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64271680).

36274800 is an abundant number, since it is smaller than the sum of its proper divisors (92268560).

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

36274800 is a wasteful number, since it uses less digits than its factorization.

36274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 36274800 is about 6022.8564651667. The cubic root of 36274800 is about 331.0307532207.

The spelling of 36274800 in words is "thirty-six million, two hundred seventy-four thousand, eight hundred".