3407980992 has 168 divisors, whose sum is σ = 9852696576. Its totient is φ = 1039094784.

The previous prime is 3407980991. The next prime is 3407981033. The reversal of 3407980992 is 2990897043.

It is a super-2 number, since 2×3407980992² = 23228668883666608128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407980991) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4120483 + ... + 4121309.

Almost surely, 2^3407980992 is an apocalyptic number.

3407980992 is a gapful number since it is divisible by the number (32) 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 3407980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926348288).

3407980992 is an abundant number, since it is smaller than the sum of its proper divisors (6444715584).

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

3407980992 is a wasteful number, since it uses less digits than its factorization.

3407980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 3407980992 is about 58377.9152762412. The cubic root of 3407980992 is about 1504.8702429309.

The spelling of 3407980992 in words is "three billion, four hundred seven million, nine hundred eighty thousand, nine hundred ninety-two".