3376047040800 has 864 divisors, whose sum is σ = 14002080059520. Its totient is φ = 701219635200.

The previous prime is 3376047040799. The next prime is 3376047040837. The reversal of 3376047040800 is 80407406733.

It is a super-2 number, since 2×3376047040800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57947685 + ... + 58005915.

It is an arithmetic number, because the mean of its divisors is an integer number (16206111180).

Almost surely, 2^{3376047040800} is an apocalyptic number.

3376047040800 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 3376047040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001040029760).

3376047040800 is an abundant number, since it is smaller than the sum of its proper divisors (10626033018720).

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

3376047040800 is a wasteful number, since it uses less digits than its factorization.

3376047040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58314 (or 58294 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 3376047040800 in words is "three trillion, three hundred seventy-six billion, forty-seven million, forty thousand, eight hundred".