3725888760 has 512 divisors, whose sum is σ = 14288486400. Its totient is φ = 855360000.

The previous prime is 3725888743. The next prime is 3725888783. The reversal of 3725888760 is 678885273.

3725888760 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 3725888697 and 3725888706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24674685 + ... + 24674835.

It is an arithmetic number, because the mean of its divisors is an integer number (27907200).

Almost surely, 2^3725888760 is an apocalyptic number.

3725888760 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 3725888760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144243200).

3725888760 is an abundant number, since it is smaller than the sum of its proper divisors (10562597640).

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

3725888760 is a wasteful number, since it uses less digits than its factorization.

3725888760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 3725888760 is about 61040.0586500374. The cubic root of 3725888760 is about 1550.2793475013.

The spelling of 3725888760 in words is "three billion, seven hundred twenty-five million, eight hundred eighty-eight thousand, seven hundred sixty".