3407946259968 has 60 divisors (see below), whose sum is σ = 9835563665928. Its totient is φ = 1135982085120.

The previous prime is 3407946259931. The next prime is 3407946259999. The reversal of 3407946259968 is 8699526497043.

3407946259968 is a `hidden beast` number, since 3 + 4 + 0 + 79 + 462 + 5 + 9 + 96 + 8 = 666.

It is a super-2 number, since 2×3407946259968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3407946259896 and 3407946259905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369781228 + ... + 369790443.

Almost surely, 2^{3407946259968} is an apocalyptic number.

It is an amenable number.

3407946259968 is an abundant number, since it is smaller than the sum of its proper divisors (6427617405960).

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

3407946259968 is an equidigital number, since it uses as much as digits as its factorization.

3407946259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739571695 (or 739571676 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 3407946259968 in words is "three trillion, four hundred seven billion, nine hundred forty-six million, two hundred fifty-nine thousand, nine hundred sixty-eight".