3330865152000 has 1680 divisors, whose sum is σ = 13140707815872. Its totient is φ = 840853094400.

The previous prime is 3330865151989. The next prime is 3330865152007. The reversal of 3330865152000 is 2515680333.

3330865152000 is a `hidden beast` number, since 3 + 3 + 3 + 0 + 86 + 51 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×3330865152000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3330865152007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34338815952 + ... + 34338816048.

Almost surely, 2^{3330865152000} is an apocalyptic number.

3330865152000 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 3330865152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570353907936).

3330865152000 is an abundant number, since it is smaller than the sum of its proper divisors (9809842663872).

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

3330865152000 is an frugal number, since it uses more digits than its factorization.

3330865152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 3330865152000 in words is "three trillion, three hundred thirty billion, eight hundred sixty-five million, one hundred fifty-two thousand".