3612055680 has 160 divisors (see below), whose sum is σ = 12899488140. Its totient is φ = 963201024.

The previous prime is 3612055663. The next prime is 3612055709. The reversal of 3612055680 is 865502163.

3612055680 is a `hidden beast` number, since 3 + 6 + 1 + 20 + 556 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3002163264 + 609892416 = 54792^2 + 24696^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 17002 + ... + 86678.

Almost surely, 2^3612055680 is an apocalyptic number.

3612055680 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 3612055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449744070).

3612055680 is an abundant number, since it is smaller than the sum of its proper divisors (9287432460).

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

3612055680 is an equidigital number, since it uses as much as digits as its factorization.

3612055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69708 (or 69687 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3612055680 is about 60100.3800320763. The cubic root of 3612055680 is about 1534.3277699619.

The spelling of 3612055680 in words is "three billion, six hundred twelve million, fifty-five thousand, six hundred eighty".