3444185745 has 288 divisors, whose sum is σ = 8456757120. Its totient is φ = 1317254400.

The previous prime is 3444185713. The next prime is 3444185747. The reversal of 3444185745 is 5475814443.

3444185745 is a `hidden beast` number, since 34 + 4 + 41 + 8 + 574 + 5 = 666.

It is not a de Polignac number, because 3444185745 - 2⁵ = 3444185713 is a prime.

It is a super-2 number, since 2×3444185745² = 23724830892122410050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3444185745.

It is not an unprimeable number, because it can be changed into a prime (3444185747) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10405230 + ... + 10405560.

It is an arithmetic number, because the mean of its divisors is an integer number (29363740).

Almost surely, 2^3444185745 is an apocalyptic number.

3444185745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3444185745 is an abundant number, since it is smaller than the sum of its proper divisors (5012571375).

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

3444185745 is a wasteful number, since it uses less digits than its factorization.

3444185745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 370 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 3444185745 is about 58687.1855263140. The cubic root of 3444185745 is about 1510.1804887832.

The spelling of 3444185745 in words is "three billion, four hundred forty-four million, one hundred eighty-five thousand, seven hundred forty-five".