3397976064 has 204 divisors, whose sum is σ = 11232260416. Its totient is φ = 969670656.

The previous prime is 3397976053. The next prime is 3397976111. The reversal of 3397976064 is 4606797933.

It is a self number, because there is not a number n which added to its sum of digits gives 3397976064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4128357 + ... + 4129179.

Almost surely, 2^3397976064 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 3397976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616130208).

3397976064 is an abundant number, since it is smaller than the sum of its proper divisors (7834284352).

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

3397976064 is an frugal number, since it uses more digits than its factorization.

3397976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 3397976064 is about 58292.1612568963. The cubic root of 3397976064 is about 1503.3961662335.

The spelling of 3397976064 in words is "three billion, three hundred ninety-seven million, nine hundred seventy-six thousand, sixty-four".