3456634848624 has 120 divisors (see below), whose sum is σ = 10033199834112. Its totient is φ = 1152081247680.

The previous prime is 3456634848619. The next prime is 3456634848673. The reversal of 3456634848624 is 4268484366543.

3456634848624 is a `hidden beast` number, since 3 + 4 + 56 + 6 + 3 + 484 + 86 + 24 = 666.

3456634848624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38022007 + ... + 38112809.

Almost surely, 2^{3456634848624} 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 3456634848624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016599917056).

3456634848624 is an abundant number, since it is smaller than the sum of its proper divisors (6576564985488).

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

3456634848624 is an equidigital number, since it uses as much as digits as its factorization.

3456634848624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100617 (or 100599 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 63.

The spelling of 3456634848624 in words is "three trillion, four hundred fifty-six billion, six hundred thirty-four million, eight hundred forty-eight thousand, six hundred twenty-four".