3407960562732 has 288 divisors, whose sum is σ = 10236116427264. Its totient is φ = 944155699200.

The previous prime is 3407960562709. The next prime is 3407960562757. The reversal of 3407960562732 is 2372650697043.

3407960562732 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 9 + 6 + 0 + 5 + 627 + 3 + 2 = 666.

3407960562732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3407960562732² (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 95 ways as a sum of consecutive naturals, for example, 157161163 + ... + 157182845.

It is an arithmetic number, because the mean of its divisors is an integer number (35542070928).

Almost surely, 2^{3407960562732} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407960562732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118058213632).

3407960562732 is an abundant number, since it is smaller than the sum of its proper divisors (6828155864532).

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

3407960562732 is a wasteful number, since it uses less digits than its factorization.

3407960562732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22389 (or 22384 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 3407960562732 in words is "three trillion, four hundred seven billion, nine hundred sixty million, five hundred sixty-two thousand, seven hundred thirty-two".