3625944480 has 192 divisors, whose sum is σ = 13242942720. Its totient is φ = 924853248.

The previous prime is 3625944479. The next prime is 3625944523. The reversal of 3625944480 is 844495263.

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 31 ways as a sum of consecutive naturals, for example, 81114 + ... + 117606.

It is an arithmetic number, because the mean of its divisors is an integer number (68973660).

Almost surely, 2^3625944480 is an apocalyptic number.

3625944480 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 3625944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621471360).

3625944480 is an abundant number, since it is smaller than the sum of its proper divisors (9616998240).

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

3625944480 is a wasteful number, since it uses less digits than its factorization.

3625944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36540 (or 36526 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3625944480 is about 60215.8158626120. The cubic root of 3625944480 is about 1536.2918146737.

The spelling of 3625944480 in words is "three billion, six hundred twenty-five million, nine hundred forty-four thousand, four hundred eighty".