36364680 has 128 divisors (see below), whose sum is σ = 132278400. Its totient is φ = 8812800.

The previous prime is 36364667. The next prime is 36364693. The reversal of 36364680 is 8646363.

36364680 is a `hidden beast` number, since 3 + 6 + 3 + 646 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36364667) and next prime (36364693).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10350 + ... + 13410.

It is an arithmetic number, because the mean of its divisors is an integer number (1033425).

Almost surely, 2^36364680 is an apocalyptic number.

36364680 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 36364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66139200).

36364680 is an abundant number, since it is smaller than the sum of its proper divisors (95913720).

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

36364680 is a wasteful number, since it uses less digits than its factorization.

36364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36364680 is about 6030.3134246903. The cubic root of 36364680 is about 331.3039318856.

The spelling of 36364680 in words is "thirty-six million, three hundred sixty-four thousand, six hundred eighty".