3625809408 has 120 divisors (see below), whose sum is σ = 11269466208. Its totient is φ = 1115615232.

The previous prime is 3625809391. The next prime is 3625809431. The reversal of 3625809408 is 8049085263.

3625809408 is a `hidden beast` number, since 3 + 62 + 580 + 9 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29641 + ... + 90167.

Almost surely, 2^3625809408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634733104).

3625809408 is an abundant number, since it is smaller than the sum of its proper divisors (7643656800).

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

3625809408 is a wasteful number, since it uses less digits than its factorization.

3625809408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60564 (or 60545 counting only the distinct ones).

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

The square root of 3625809408 is about 60214.6942863617. The cubic root of 3625809408 is about 1536.2727380271.

The spelling of 3625809408 in words is "three billion, six hundred twenty-five million, eight hundred nine thousand, four hundred eight".