3331704960 has 448 divisors, whose sum is σ = 12328121880. Its totient is φ = 859963392.

The previous prime is 3331704953. The next prime is 3331704989. The reversal of 3331704960 is 694071333.

It can be written as a sum of positive squares in 4 ways, for example, as 2892718656 + 438986304 = 53784^2 + 20952^2 .

It is a super-2 number, since 2×3331704960² = 22200515880977203200, 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 55 ways as a sum of consecutive naturals, for example, 17262624 + ... + 17262816.

Almost surely, 2^3331704960 is an apocalyptic number.

3331704960 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 3331704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164060940).

3331704960 is an abundant number, since it is smaller than the sum of its proper divisors (8996416920).

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

3331704960 is an equidigital number, since it uses as much as digits as its factorization.

3331704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3331704960 is about 57720.9230695421. The cubic root of 3331704960 is about 1493.5582958992.

The spelling of 3331704960 in words is "three billion, three hundred thirty-one million, seven hundred four thousand, nine hundred sixty".