3625716522848 has 144 divisors (see below), whose sum is σ = 8369711414064. Its totient is φ = 1541534561280.

The previous prime is 3625716522821. The next prime is 3625716522853. The reversal of 3625716522848 is 8482256175263.

3625716522848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3625716522848³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 126665978 + ... + 126694598.

It is an arithmetic number, because the mean of its divisors is an integer number (58122995931).

Almost surely, 2^{3625716522848} 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 3625716522848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184855707032).

3625716522848 is an abundant number, since it is smaller than the sum of its proper divisors (4743994891216).

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

3625716522848 is a wasteful number, since it uses less digits than its factorization.

3625716522848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29285 (or 29270 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 59.

The spelling of 3625716522848 in words is "three trillion, six hundred twenty-five billion, seven hundred sixteen million, five hundred twenty-two thousand, eight hundred forty-eight".