3625681305600 has 1080 divisors, whose sum is σ = 13680484636000. Its totient is φ = 951692820480.

The previous prime is 3625681305593. The next prime is 3625681305641. The reversal of 3625681305600 is 65031865263.

3625681305600 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 6 + 8 + 1 + 30 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×3625681305600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7265894151 + ... + 7265894649.

Almost surely, 2^{3625681305600} is an apocalyptic number.

3625681305600 is a gapful number since it is divisible by the number (30) 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 3625681305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840242318000).

3625681305600 is an abundant number, since it is smaller than the sum of its proper divisors (10054803330400).

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

3625681305600 is an frugal number, since it uses more digits than its factorization.

3625681305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3625681305600 in words is "three trillion, six hundred twenty-five billion, six hundred eighty-one million, three hundred five thousand, six hundred".