3613390560 has 336 divisors, whose sum is σ = 13789427904. Its totient is φ = 889076736.

The previous prime is 3613390541. The next prime is 3613390591. The reversal of 3613390560 is 650933163.

3613390560 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 3 + 90 + 560 = 666.

It is a super-2 number, since 2×3613390560² = 26113182678194227200, 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 55 ways as a sum of consecutive naturals, for example, 1515129 + ... + 1517511.

It is an arithmetic number, because the mean of its divisors is an integer number (41039964).

Almost surely, 2^3613390560 is an apocalyptic number.

3613390560 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 3613390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894713952).

3613390560 is an abundant number, since it is smaller than the sum of its proper divisors (10176037344).

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

3613390560 is a wasteful number, since it uses less digits than its factorization.

3613390560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3613390560 is about 60111.4844268547. The cubic root of 3613390560 is about 1534.5167566389.

The spelling of 3613390560 in words is "three billion, six hundred thirteen million, three hundred ninety thousand, five hundred sixty".