3725948160 has 576 divisors, whose sum is σ = 14722686720. Its totient is φ = 903260160.

The previous prime is 3725948147. The next prime is 3725948167. The reversal of 3725948160 is 618495273.

3725948160 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

3725948160 is strictly pandigital in base 10.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1980 × 1188 × 1584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725948167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338722555 + ... + 338722565.

It is an arithmetic number, because the mean of its divisors is an integer number (25560220).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3725948160 = 7451896320, but 3⋅3725948160 = 11177844480 is not.

Almost surely, 2^3725948160 is an apocalyptic number.

3725948160 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 3725948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361343360).

3725948160 is an abundant number, since it is smaller than the sum of its proper divisors (10996738560).

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

3725948160 is an frugal number, since it uses more digits than its factorization.

3725948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3725948160 is about 61040.5452138167. The cubic root of 3725948160 is about 1550.2875859029.

The spelling of 3725948160 in words is "three billion, seven hundred twenty-five million, nine hundred forty-eight thousand, one hundred sixty".