3435986304 has 320 divisors, whose sum is σ = 10730134800. Its totient is φ = 1090437120.

The previous prime is 3435986269. The next prime is 3435986341. The reversal of 3435986304 is 4036895343.

3435986304 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 9 + 8 + 630 + 4 = 666.

3435986304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3435986304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25080124 + ... + 25080260.

Almost surely, 2^3435986304 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 3435986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365067400).

3435986304 is an abundant number, since it is smaller than the sum of its proper divisors (7294148496).

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

3435986304 is a wasteful number, since it uses less digits than its factorization.

3435986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3435986304 is about 58617.2867335226. The cubic root of 3435986304 is about 1508.9811269175.

The spelling of 3435986304 in words is "three billion, four hundred thirty-five million, nine hundred eighty-six thousand, three hundred four".