3336312960 has 192 divisors, whose sum is σ = 11558079000. Its totient is φ = 886800384.

The previous prime is 3336312919. The next prime is 3336312971. The reversal of 3336312960 is 692136333.

3336312960 is a `hidden beast` number, since 3 + 3 + 363 + 1 + 296 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1770053184 + 1566259776 = 42072^2 + 39576^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3336312960² = 22261968334127923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2239896 + ... + 2241384.

Almost surely, 2^3336312960 is an apocalyptic number.

3336312960 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 3336312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779039500).

3336312960 is an abundant number, since it is smaller than the sum of its proper divisors (8221766040).

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

3336312960 is a wasteful number, since it uses less digits than its factorization.

3336312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 3336312960 is about 57760.8254788659. The cubic root of 3336312960 is about 1494.2465467321.

The spelling of 3336312960 in words is "three billion, three hundred thirty-six million, three hundred twelve thousand, nine hundred sixty".