3625482240 has 576 divisors, whose sum is σ = 13737185280. Its totient is φ = 915701760.

The previous prime is 3625482239. The next prime is 3625482269. The reversal of 3625482240 is 422845263.

3625482240 is a `hidden beast` number, since 3 + 625 + 4 + 8 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3625482195 and 3625482204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77137897 + ... + 77137943.

It is an arithmetic number, because the mean of its divisors is an integer number (23849280).

Almost surely, 2^3625482240 is an apocalyptic number.

3625482240 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 3625482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640).

3625482240 is an abundant number, since it is smaller than the sum of its proper divisors (10111703040).

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

3625482240 is an equidigital number, since it uses as much as digits as its factorization.

3625482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3625482240 is about 60211.9775459999. The cubic root of 3625482240 is about 1536.2265290899.

The spelling of 3625482240 in words is "three billion, six hundred twenty-five million, four hundred eighty-two thousand, two hundred forty".