3725773200 has 240 divisors, whose sum is σ = 13427860800. Its totient is φ = 993306240.

The previous prime is 3725773199. The next prime is 3725773211. The reversal of 3725773200 is 23775273.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872671 + ... + 876929.

It is an arithmetic number, because the mean of its divisors is an integer number (55949420).

Almost surely, 2^3725773200 is an apocalyptic number.

3725773200 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 3725773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713930400).

3725773200 is an abundant number, since it is smaller than the sum of its proper divisors (9702087600).

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

3725773200 is an equidigital number, since it uses as much as digits as its factorization.

3725773200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 3725773200 is about 61039.1120512086. The cubic root of 3725773200 is about 1550.2633198145.

The spelling of 3725773200 in words is "three billion, seven hundred twenty-five million, seven hundred seventy-three thousand, two hundred".