3407083680000 has 2160 divisors, whose sum is σ = 15500796607296. Its totient is φ = 652861440000.

The previous prime is 3407083679999. The next prime is 3407083680019. The reversal of 3407083680000 is 863807043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3363359494 + ... + 3363360506.

Almost surely, 2^{3407083680000} is an apocalyptic number.

3407083680000 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 3407083680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750398303648).

3407083680000 is an abundant number, since it is smaller than the sum of its proper divisors (12093712927296).

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

3407083680000 is a wasteful number, since it uses less digits than its factorization.

3407083680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 3407083680000 in words is "three trillion, four hundred seven billion, eighty-three million, six hundred eighty thousand".