36369000 has 160 divisors (see below), whose sum is σ = 127413000. Its totient is φ = 9676800.

The previous prime is 36368999. The next prime is 36369017. The reversal of 36369000 is 96363.

It can be written as a sum of positive squares in 4 ways, for example, as 12574116 + 23794884 = 3546^2 + 4878^2 .

It is a super-2 number, since 2×36369000² = 2645408322000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80776 + ... + 81224.

Almost surely, 2^36369000 is an apocalyptic number.

36369000 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 36369000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63706500).

36369000 is an abundant number, since it is smaller than the sum of its proper divisors (91044000).

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

36369000 is a wasteful number, since it uses less digits than its factorization.

36369000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36369000 is about 6030.6716043903. The cubic root of 36369000 is about 331.3170506253.

The spelling of 36369000 in words is "thirty-six million, three hundred sixty-nine thousand".