3895728537600 has 513 divisors, whose sum is σ = 14009850937927. Its totient is φ = 1034818682880.

The previous prime is 3895728537563. The next prime is 3895728537607. The reversal of 3895728537600 is 67358275983.

The square root of 3895728537600 is 1973760.

It is a perfect power (a square), and thus also a powerful number.

3895728537600 is a `hidden beast` number, since 3 + 8 + 9 + 572 + 8 + 53 + 7 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 957329178624 + 2938399358976 = 978432^2 + 1714176^2 .

It is a super-2 number, since 2×3895728537600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3895728537607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15158476672 + ... + 15158476928.

Almost surely, 2^{3895728537600} is an apocalyptic number.

3895728537600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3895728537600 is the 1973760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3895728537600

3895728537600 is an abundant number, since it is smaller than the sum of its proper divisors (10114122400327).

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

3895728537600 is an frugal number, since it uses more digits than its factorization.

3895728537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3895728537600 in words is "three trillion, eight hundred ninety-five billion, seven hundred twenty-eight million, five hundred thirty-seven thousand, six hundred".