3735042307272 has 96 divisors (see below), whose sum is σ = 10719175030200. Its totient is φ = 1170859886592.

The previous prime is 3735042307259. The next prime is 3735042307277. The reversal of 3735042307272 is 2727032405373.

3735042307272 is a `hidden beast` number, since 3 + 7 + 3 + 504 + 2 + 3 + 0 + 72 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2862884304036 + 872158003236 = 1692006^2 + 933894^2 .

It is a super-2 number, since 2×3735042307272² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3735042307277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368254 + ... + 2757842.

Almost surely, 2^{3735042307272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735042307272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359587515100).

3735042307272 is an abundant number, since it is smaller than the sum of its proper divisors (6984132722928).

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

3735042307272 is a wasteful number, since it uses less digits than its factorization.

3735042307272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390895 (or 2390888 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 45.

The spelling of 3735042307272 in words is "three trillion, seven hundred thirty-five billion, forty-two million, three hundred seven thousand, two hundred seventy-two".