3331652676000 has 384 divisors, whose sum is σ = 12012143899392. Its totient is φ = 800522240000.

The previous prime is 3331652675993. The next prime is 3331652676041. The reversal of 3331652676000 is 6762561333.

It is a super-2 number, since 2×3331652676000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14804320 + ... + 15027680.

It is an arithmetic number, because the mean of its divisors is an integer number (31281624738).

Almost surely, 2^{3331652676000} is an apocalyptic number.

3331652676000 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 3331652676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006071949696).

3331652676000 is an abundant number, since it is smaller than the sum of its proper divisors (8680491223392).

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

3331652676000 is a wasteful number, since it uses less digits than its factorization.

3331652676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223513 (or 223495 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 3331652676000 in words is "three trillion, three hundred thirty-one billion, six hundred fifty-two million, six hundred seventy-six thousand".