3625890480 has 360 divisors, whose sum is σ = 13154480976. Its totient is φ = 927521280.

The previous prime is 3625890467. The next prime is 3625890481. The reversal of 3625890480 is 840985263.

3625890480 is a `hidden beast` number, since 3 + 62 + 589 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (3625890481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51068845 + ... + 51068915.

Almost surely, 2^3625890480 is an apocalyptic number.

3625890480 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 3625890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577240488).

3625890480 is an abundant number, since it is smaller than the sum of its proper divisors (9528590496).

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

3625890480 is an equidigital number, since it uses as much as digits as its factorization.

3625890480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3625890480 is about 60215.3674737604. The cubic root of 3625890480 is about 1536.2841881394.

The spelling of 3625890480 in words is "three billion, six hundred twenty-five million, eight hundred ninety thousand, four hundred eighty".