3360960000 has 400 divisors, whose sum is σ = 12463822800. Its totient is φ = 893952000.

The previous prime is 3360959999. The next prime is 3360960019. The reversal of 3360960000 is 690633.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3360960000² = 22592104243200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639806 + ... + 8640194.

It is an arithmetic number, because the mean of its divisors is an integer number (31159557).

Almost surely, 2^3360960000 is an apocalyptic number.

3360960000 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 3360960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231911400).

3360960000 is an abundant number, since it is smaller than the sum of its proper divisors (9102862800).

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

3360960000 is an frugal number, since it uses more digits than its factorization.

3360960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3360960000 is about 57973.7871800696. The cubic root of 3360960000 is about 1497.9171090489.

The spelling of 3360960000 in words is "three billion, three hundred sixty million, nine hundred sixty thousand".