3506633564070 has 192 divisors, whose sum is σ = 10696458101760. Its totient is φ = 719864630784.

The previous prime is 3506633564059. The next prime is 3506633564089. The reversal of 3506633564070 is 704653366053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22090 + ... + 2648349.

It is an arithmetic number, because the mean of its divisors is an integer number (55710719280).

Almost surely, 2^{3506633564070} is an apocalyptic number.

3506633564070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3506633564070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348229050880).

3506633564070 is an abundant number, since it is smaller than the sum of its proper divisors (7189824537690).

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

3506633564070 is a wasteful number, since it uses less digits than its factorization.

3506633564070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670519 (or 2670506 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 48.

The spelling of 3506633564070 in words is "three trillion, five hundred six billion, six hundred thirty-three million, five hundred sixty-four thousand, seventy".