3625272599040 has 960 divisors, whose sum is σ = 13350983982336. Its totient is φ = 942519877632.

The previous prime is 3625272599017. The next prime is 3625272599041. The reversal of 3625272599040 is 409952725263.

3625272599040 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 2 + 7 + 2 + 599 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (3625272599041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4404948069 + ... + 4404948891.

Almost surely, 2^{3625272599040} is an apocalyptic number.

3625272599040 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 3625272599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675491991168).

3625272599040 is an abundant number, since it is smaller than the sum of its proper divisors (9725711383296).

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

3625272599040 is an frugal number, since it uses more digits than its factorization.

3625272599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3625272599040 in words is "three trillion, six hundred twenty-five billion, two hundred seventy-two million, five hundred ninety-nine thousand, forty".