39272141584 has 135 divisors (see below), whose sum is σ = 85510212543. Its totient is φ = 17464502016.

The previous prime is 39272141569. The next prime is 39272141611. The reversal of 39272141584 is 48514127293.

The square root of 39272141584 is 198172.

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

It can be written as a sum of positive squares in 4 ways, for example, as 163123984 + 39109017600 = 12772^2 + 197760^2 .

It is a super-2 number, since 2×39272141584² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 381282877 + ... + 381282979.

Almost surely, 2^39272141584 is an apocalyptic number.

39272141584 is the 198172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39272141584

39272141584 is an abundant number, since it is smaller than the sum of its proper divisors (46238070959).

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

39272141584 is a wasteful number, since it uses less digits than its factorization.

39272141584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 155 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The spelling of 39272141584 in words is "thirty-nine billion, two hundred seventy-two million, one hundred forty-one thousand, five hundred eighty-four".