3562261921764 has 240 divisors, whose sum is σ = 11511556672000. Its totient is φ = 935393266944.

The previous prime is 3562261921709. The next prime is 3562261921837. The reversal of 3562261921764 is 4671291622653.

It is a happy number.

3562261921764 is a `hidden beast` number, since 3 + 5 + 6 + 2 + 2 + 619 + 2 + 17 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3562261921764.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6488037 + ... + 7015635.

Almost surely, 2^{3562261921764} 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 3562261921764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755778336000).

3562261921764 is an abundant number, since it is smaller than the sum of its proper divisors (7949294750236).

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

3562261921764 is a wasteful number, since it uses less digits than its factorization.

3562261921764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527864 (or 527853 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 3562261921764 in words is "three trillion, five hundred sixty-two billion, two hundred sixty-one million, nine hundred twenty-one thousand, seven hundred sixty-four".