36379680 has 96 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 9188352.

The previous prime is 36379667. The next prime is 36379687. The reversal of 36379680 is 8697363.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36379680² = 2646962233804800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36379687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7126 + ... + 11114.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^36379680 is an apocalyptic number.

36379680 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 36379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

36379680 is an abundant number, since it is smaller than the sum of its proper divisors (84277920).

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

36379680 is a wasteful number, since it uses less digits than its factorization.

36379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 36379680 is about 6031.5570129113. The cubic root of 36379680 is about 331.3494786069.

The spelling of 36379680 in words is "thirty-six million, three hundred seventy-nine thousand, six hundred eighty".