3502361664 has 84 divisors (see below), whose sum is σ = 10132887024. Its totient is φ = 1156522752.

The previous prime is 3502361659. The next prime is 3502361671. The reversal of 3502361664 is 4661632053.

3502361664 is a `hidden beast` number, since 35 + 0 + 2 + 3 + 616 + 6 + 4 = 666.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33219 + ... + 90045.

Almost surely, 2^3502361664 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 3502361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066443512).

3502361664 is an abundant number, since it is smaller than the sum of its proper divisors (6630525360).

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

3502361664 is a wasteful number, since it uses less digits than its factorization.

3502361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56952 (or 56939 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3502361664 is about 59180.7541689019. The cubic root of 3502361664 is about 1518.6359045315.

The spelling of 3502361664 in words is "three billion, five hundred two million, three hundred sixty-one thousand, six hundred sixty-four".