3403505664 has 336 divisors, whose sum is σ = 10948824432. Its totient is φ = 1012137984.

The previous prime is 3403505641. The next prime is 3403505669. The reversal of 3403505664 is 4665053043.

3403505664 is a `hidden beast` number, since 3 + 40 + 3 + 50 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403505669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50798559 + ... + 50798625.

It is an arithmetic number, because the mean of its divisors is an integer number (32585787).

Almost surely, 2^3403505664 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 3403505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474412216).

3403505664 is an abundant number, since it is smaller than the sum of its proper divisors (7545318768).

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

3403505664 is a wasteful number, since it uses less digits than its factorization.

3403505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3403505664 is about 58339.5720244844. The cubic root of 3403505664 is about 1504.2112273121.

The spelling of 3403505664 in words is "three billion, four hundred three million, five hundred five thousand, six hundred sixty-four".