3709225580544 has 1296 divisors, whose sum is σ = 13207337750880. Its totient is φ = 998513049600.

The previous prime is 3709225580519. The next prime is 3709225580587. The reversal of 3709225580544 is 4450855229073.

3709225580544 is a `hidden beast` number, since 3 + 7 + 0 + 9 + 2 + 2 + 5 + 580 + 54 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13687179129 + ... + 13687179399.

It is an arithmetic number, because the mean of its divisors is an integer number (10190847030).

Almost surely, 2^{3709225580544} is an apocalyptic number.

3709225580544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3709225580544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603668875440).

3709225580544 is an abundant number, since it is smaller than the sum of its proper divisors (9498112170336).

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

3709225580544 is a wasteful number, since it uses less digits than its factorization.

3709225580544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 3709225580544 in words is "three trillion, seven hundred nine billion, two hundred twenty-five million, five hundred eighty thousand, five hundred forty-four".