3400664960 has 256 divisors, whose sum is σ = 10225198080. Its totient is φ = 1050624000.

The previous prime is 3400664959. The next prime is 3400665017. The reversal of 3400664960 is 694660043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7441052 + ... + 7441508.

It is an arithmetic number, because the mean of its divisors is an integer number (39942180).

Almost surely, 2^3400664960 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 3400664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112599040).

3400664960 is an abundant number, since it is smaller than the sum of its proper divisors (6824533120).

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

3400664960 is a wasteful number, since it uses less digits than its factorization.

3400664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 3400664960 is about 58315.2206546456. The cubic root of 3400664960 is about 1503.7926189089.

The spelling of 3400664960 in words is "three billion, four hundred million, six hundred sixty-four thousand, nine hundred sixty".