3725715840 has 768 divisors, whose sum is σ = 15628032000. Its totient is φ = 738017280.

The previous prime is 3725715827. The next prime is 3725715883. The reversal of 3725715840 is 485175273.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3725715792 and 3725715801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47160921 + ... + 47160999.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 2^3725715840 is an apocalyptic number.

3725715840 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 3725715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016000).

3725715840 is an abundant number, since it is smaller than the sum of its proper divisors (11902316160).

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

3725715840 is a wasteful number, since it uses less digits than its factorization.

3725715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 3725715840 is about 61038.6421867328. The cubic root of 3725715840 is about 1550.2553641003.

The spelling of 3725715840 in words is "three billion, seven hundred twenty-five million, seven hundred fifteen thousand, eight hundred forty".