3625245120 has 224 divisors, whose sum is σ = 13196620800. Its totient is φ = 825974784.

The previous prime is 3625245109. The next prime is 3625245139. The reversal of 3625245120 is 215425263.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2747821 + ... + 2749139.

Almost surely, 2^3625245120 is an apocalyptic number.

3625245120 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 3625245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598310400).

3625245120 is an abundant number, since it is smaller than the sum of its proper divisors (9571375680).

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

3625245120 is a wasteful number, since it uses less digits than its factorization.

3625245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3625245120 is about 60210.0084703532. The cubic root of 3625245120 is about 1536.1930367200.

The spelling of 3625245120 in words is "three billion, six hundred twenty-five million, two hundred forty-five thousand, one hundred twenty".