36974100 has 72 divisors (see below), whose sum is σ = 109902688. Its totient is φ = 9590400.

The previous prime is 36974089. The next prime is 36974123. The reversal of 36974100 is 147963.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 9435 + ... + 12765.

Almost surely, 2^36974100 is an apocalyptic number.

36974100 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 36974100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54951344).

36974100 is an abundant number, since it is smaller than the sum of its proper divisors (72928588).

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

36974100 is a wasteful number, since it uses less digits than its factorization.

36974100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 36974100 is about 6080.6331907130. The cubic root of 36974100 is about 333.1444151722.

The spelling of 36974100 in words is "thirty-six million, nine hundred seventy-four thousand, one hundred".