3362565960 has 576 divisors, whose sum is σ = 12949372800. Its totient is φ = 782825472.

The previous prime is 3362565959. The next prime is 3362565971. The reversal of 3362565960 is 695652633.

3362565960 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 56 + 596 + 0 = 666.

It is a super-2 number, since 2×3362565960² = 22613699670701443200, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 37781596 + ... + 37781684.

It is an arithmetic number, because the mean of its divisors is an integer number (22481550).

Almost surely, 2^3362565960 is an apocalyptic number.

3362565960 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 3362565960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474686400).

3362565960 is an abundant number, since it is smaller than the sum of its proper divisors (9586806840).

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

3362565960 is a wasteful number, since it uses less digits than its factorization.

3362565960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 3362565960 is about 57987.6362684323. The cubic root of 3362565960 is about 1498.1556531860.

The spelling of 3362565960 in words is "three billion, three hundred sixty-two million, five hundred sixty-five thousand, nine hundred sixty".