3428517815820 has 72 divisors (see below), whose sum is σ = 10416319236960. Its totient is φ = 912822462720.

The previous prime is 3428517815819. The next prime is 3428517815831. The reversal of 3428517815820 is 285187158243.

It is a happy number.

3428517815820 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 51 + 7 + 8 + 1 + 582 + 0 = 666.

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, 14979385 + ... + 15206544.

Almost surely, 2^{3428517815820} is an apocalyptic number.

3428517815820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428517815820 is an abundant number, since it is smaller than the sum of its proper divisors (6987801421140).

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

3428517815820 is a wasteful number, since it uses less digits than its factorization.

3428517815820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30186575 (or 30186570 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 3428517815820 in words is "three trillion, four hundred twenty-eight billion, five hundred seventeen million, eight hundred fifteen thousand, eight hundred twenty".