3428517815832 has 128 divisors (see below), whose sum is σ = 8882711812800. Its totient is φ = 1101977395200.

The previous prime is 3428517815831. The next prime is 3428517815867. The reversal of 3428517815832 is 2385187158243.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428517815831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255452482 + ... + 255465902.

Almost surely, 2^{3428517815832} 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 3428517815832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441355906400).

3428517815832 is an abundant number, since it is smaller than the sum of its proper divisors (5454193996968).

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

3428517815832 is a wasteful number, since it uses less digits than its factorization.

3428517815832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16477 (or 16473 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 57.

The spelling of 3428517815832 in words is "three trillion, four hundred twenty-eight billion, five hundred seventeen million, eight hundred fifteen thousand, eight hundred thirty-two".