3625616640 has 144 divisors (see below), whose sum is σ = 11605962816. Its totient is φ = 964608000.

The previous prime is 3625616609. The next prime is 3625616663. The reversal of 3625616640 is 466165263.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307055 + ... + 2308625.

It is an arithmetic number, because the mean of its divisors is an integer number (80596964).

Almost surely, 2^3625616640 is an apocalyptic number.

3625616640 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 3625616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802981408).

3625616640 is an abundant number, since it is smaller than the sum of its proper divisors (7980346176).

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

3625616640 is a wasteful number, since it uses less digits than its factorization.

3625616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3625616640 is about 60213.0935926730. The cubic root of 3625616640 is about 1536.2455119709.

The spelling of 3625616640 in words is "three billion, six hundred twenty-five million, six hundred sixteen thousand, six hundred forty".