3456993768 has 96 divisors (see below), whose sum is σ = 9173890080. Its totient is φ = 1084752000.

The previous prime is 3456993733. The next prime is 3456993797. The reversal of 3456993768 is 8673996543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851343 + ... + 855393.

It is an arithmetic number, because the mean of its divisors is an integer number (95561355).

Almost surely, 2^3456993768 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 3456993768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586945040).

3456993768 is an abundant number, since it is smaller than the sum of its proper divisors (5716896312).

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

3456993768 is a wasteful number, since it uses less digits than its factorization.

3456993768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4124 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The square root of 3456993768 is about 58796.2053877629. The cubic root of 3456993768 is about 1512.0501614052.

The spelling of 3456993768 in words is "three billion, four hundred fifty-six million, nine hundred ninety-three thousand, seven hundred sixty-eight".