3486938624 has 80 divisors (see below), whose sum is σ = 7550329248. Its totient is φ = 1599209472.

The previous prime is 3486938617. The next prime is 3486938633. The reversal of 3486938624 is 4268396843.

3486938624 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 7 ways as a sum of consecutive naturals, for example, 1109984 + ... + 1113120.

Almost surely, 2^3486938624 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 3486938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775164624).

3486938624 is an abundant number, since it is smaller than the sum of its proper divisors (4063390624).

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

3486938624 is a wasteful number, since it uses less digits than its factorization.

3486938624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3319 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 53.

The square root of 3486938624 is about 59050.3058755837. The cubic root of 3486938624 is about 1516.4034635535.

The spelling of 3486938624 in words is "three billion, four hundred eighty-six million, nine hundred thirty-eight thousand, six hundred twenty-four".