3725303400 has 1080 divisors, whose sum is σ = 17106698070. Its totient is φ = 744629760.

The previous prime is 3725303357. The next prime is 3725303401. The reversal of 3725303400 is 43035273.

3725303400 is a `hidden beast` number, since 3 + 7 + 253 + 0 + 3 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2068976196 + 1656327204 = 45486^2 + 40698^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (3725303401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 196068591 + ... + 196068609.

Almost surely, 2^3725303400 is an apocalyptic number.

3725303400 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 3725303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553349035).

3725303400 is an abundant number, since it is smaller than the sum of its proper divisors (13381394670).

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

3725303400 is a wasteful number, since it uses less digits than its factorization.

3725303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 3725303400 is about 61035.2635777056. The cubic root of 3725303400 is about 1550.1981571147.

Adding to 3725303400 its reverse (43035273), we get a palindrome (3768338673).

The spelling of 3725303400 in words is "three billion, seven hundred twenty-five million, three hundred three thousand, four hundred".