3607695360 has 468 divisors, whose sum is σ = 13425802572. Its totient is φ = 895352832.

The previous prime is 3607695349. The next prime is 3607695451. The reversal of 3607695360 is 635967063.

3607695360 is a `hidden beast` number, since 3 + 607 + 6 + 9 + 5 + 36 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2359627776 + 1248067584 = 48576^2 + 35328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 97505262 + ... + 97505298.

Almost surely, 2^3607695360 is an apocalyptic number.

3607695360 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 3607695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712901286).

3607695360 is an abundant number, since it is smaller than the sum of its proper divisors (9818107212).

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

3607695360 is a wasteful number, since it uses less digits than its factorization.

3607695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3607695360 is about 60064.0937665757. The cubic root of 3607695360 is about 1533.7101296220.

The spelling of 3607695360 in words is "three billion, six hundred seven million, six hundred ninety-five thousand, three hundred sixty".