3368076876000 has 480 divisors, whose sum is σ = 13012618338720. Its totient is φ = 850881024000.

The previous prime is 3368076875957. The next prime is 3368076876001. The reversal of 3368076876000 is 6786708633.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3368076876000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368076876001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5882440 + ... + 6429560.

It is an arithmetic number, because the mean of its divisors is an integer number (27109621539).

Almost surely, 2^{3368076876000} is an apocalyptic number.

3368076876000 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 3368076876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506309169360).

3368076876000 is an abundant number, since it is smaller than the sum of its proper divisors (9644541462720).

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

3368076876000 is a wasteful number, since it uses less digits than its factorization.

3368076876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547177 (or 547150 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3368076876000 in words is "three trillion, three hundred sixty-eight billion, seventy-six million, eight hundred seventy-six thousand".