36279900 has 108 divisors (see below), whose sum is σ = 118008072. Its totient is φ = 9668160.

The previous prime is 36279883. The next prime is 36279923. The reversal of 36279900 is 997263.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×36279900² = 2632462288020000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23554 + ... + 25046.

Almost surely, 2^36279900 is an apocalyptic number.

36279900 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 36279900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59004036).

36279900 is an abundant number, since it is smaller than the sum of its proper divisors (81728172).

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

36279900 is a wasteful number, since it uses less digits than its factorization.

36279900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 36279900 is about 6023.2798374308. The cubic root of 36279900 is about 331.0462660811.

It can be divided in two parts, 36 and 279900, that added together give a 7-th power (279936 = 6⁷).

The spelling of 36279900 in words is "thirty-six million, two hundred seventy-nine thousand, nine hundred".