3410874987552 has 54 divisors (see below), whose sum is σ = 9699764875983. Its totient is φ = 1136947881792.

The previous prime is 3410874987551. The next prime is 3410874987557. The reversal of 3410874987552 is 2557894780143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3410874987552 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 8 + 74 + 9 + 8 + 7 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1705437493776 + 1705437493776 = 1305924^2 + 1305924^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1305924.

It is a self number, because there is not a number n which added to its sum of digits gives 3410874987552.

It is not an unprimeable number, because it can be changed into a prime (3410874987551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31287763 + ... + 31396589.

Almost surely, 2^{3410874987552} is an apocalyptic number.

3410874987552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3410874987552 is an abundant number, since it is smaller than the sum of its proper divisors (6288889888431).

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

3410874987552 is an frugal number, since it uses more digits than its factorization.

3410874987552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217670 (or 108832 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 3410874987552 in words is "three trillion, four hundred ten billion, eight hundred seventy-four million, nine hundred eighty-seven thousand, five hundred fifty-two".