3625048800 has 216 divisors, whose sum is σ = 12824491680. Its totient is φ = 963532800.

The previous prime is 3625048787. The next prime is 3625048813. The reversal of 3625048800 is 88405263.

It is an interprime number because it is at equal distance from previous prime (3625048787) and next prime (3625048813).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2944185 + ... + 2945415.

Almost surely, 2^3625048800 is an apocalyptic number.

3625048800 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 3625048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412245840).

3625048800 is an abundant number, since it is smaller than the sum of its proper divisors (9199442880).

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

3625048800 is a wasteful number, since it uses less digits than its factorization.

3625048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3625048800 is about 60208.3781545393. The cubic root of 3625048800 is about 1536.1653061022.

The spelling of 3625048800 in words is "three billion, six hundred twenty-five million, forty-eight thousand, eight hundred".