3728507725440 has 256 divisors, whose sum is σ = 13210056720000. Its totient is φ = 993897897984.

The previous prime is 3728507725391. The next prime is 3728507725457. The reversal of 3728507725440 is 445277058273.

It is a happy number.

3728507725440 is a `hidden beast` number, since 3 + 7 + 28 + 5 + 0 + 7 + 72 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47947711 + ... + 48025409.

Almost surely, 2^{3728507725440} is an apocalyptic number.

3728507725440 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 3728507725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605028360000).

3728507725440 is an abundant number, since it is smaller than the sum of its proper divisors (9481548994560).

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

3728507725440 is a wasteful number, since it uses less digits than its factorization.

3728507725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80504 (or 80486 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 3728507725440 in words is "three trillion, seven hundred twenty-eight billion, five hundred seven million, seven hundred twenty-five thousand, four hundred forty".