3361512960 has 800 divisors, whose sum is σ = 13725059040. Its totient is φ = 780337152.

The previous prime is 3361512953. The next prime is 3361512971. The reversal of 3361512960 is 692151633.

3361512960 is a `hidden beast` number, since 3 + 361 + 5 + 1 + 296 + 0 = 666.

It is a super-2 number, since 2×3361512960² = 22599538760495923200, 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 79 ways as a sum of consecutive naturals, for example, 78174699 + ... + 78174741.

Almost surely, 2^3361512960 is an apocalyptic number.

3361512960 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 3361512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862529520).

3361512960 is an abundant number, since it is smaller than the sum of its proper divisors (10363546080).

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

3361512960 is a wasteful number, since it uses less digits than its factorization.

3361512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3361512960 is about 57978.5560358310. The cubic root of 3361512960 is about 1497.9992525262. Note that the first 3 decimals are identical.

The spelling of 3361512960 in words is "three billion, three hundred sixty-one million, five hundred twelve thousand, nine hundred sixty".