3725904570240 has 384 divisors, whose sum is σ = 12736878981120. Its totient is φ = 924674826240.

The previous prime is 3725904570239. The next prime is 3725904570253. The reversal of 3725904570240 is 420754095273.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3725904570240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60424225 + ... + 60485855.

It is an arithmetic number, because the mean of its divisors is an integer number (33168955680).

Almost surely, 2^{3725904570240} is an apocalyptic number.

3725904570240 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 3725904570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368439490560).

3725904570240 is an abundant number, since it is smaller than the sum of its proper divisors (9010974410880).

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

3725904570240 is a wasteful number, since it uses less digits than its factorization.

3725904570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61750 (or 61701 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 3725904570240 in words is "three trillion, seven hundred twenty-five billion, nine hundred four million, five hundred seventy thousand, two hundred forty".