3402008064 has 720 divisors, whose sum is σ = 13159626480. Its totient is φ = 836075520.

The previous prime is 3402008063. The next prime is 3402008089. The reversal of 3402008064 is 4608002043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402008063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55770594 + ... + 55770654.

It is an arithmetic number, because the mean of its divisors is an integer number (18277259).

Almost surely, 2^3402008064 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 3402008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579813240).

3402008064 is an abundant number, since it is smaller than the sum of its proper divisors (9757618416).

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

3402008064 is a wasteful number, since it uses less digits than its factorization.

3402008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3402008064 is about 58326.7354135306. The cubic root of 3402008064 is about 1503.9905688257.

The spelling of 3402008064 in words is "three billion, four hundred two million, eight thousand, sixty-four".