3725152200 has 1152 divisors, whose sum is σ = 17541734400. Its totient is φ = 705024000.

The previous prime is 3725152181. The next prime is 3725152201. The reversal of 3725152200 is 22515273.

3725152200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725152201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120166185 + ... + 120166215.

It is an arithmetic number, because the mean of its divisors is an integer number (15227200).

Almost surely, 2^3725152200 is an apocalyptic number.

3725152200 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 3725152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770867200).

3725152200 is an abundant number, since it is smaller than the sum of its proper divisors (13816582200).

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

3725152200 is a wasteful number, since it uses less digits than its factorization.

3725152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 3725152200 is about 61034.0249369153. The cubic root of 3725152200 is about 1550.1771840460.

Adding to 3725152200 its reverse (22515273), we get a palindrome (3747667473).

The spelling of 3725152200 in words is "three billion, seven hundred twenty-five million, one hundred fifty-two thousand, two hundred".