3445936560 has 160 divisors (see below), whose sum is σ = 12948456960. Its totient is φ = 835372800.

The previous prime is 3445936523. The next prime is 3445936561. The reversal of 3445936560 is 656395443.

3445936560 is a `hidden beast` number, since 3 + 4 + 4 + 59 + 36 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3445936561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48756 + ... + 96275.

It is an arithmetic number, because the mean of its divisors is an integer number (80927856).

Almost surely, 2^3445936560 is an apocalyptic number.

3445936560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3445936560 is an abundant number, since it is smaller than the sum of its proper divisors (9502520400).

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

3445936560 is a wasteful number, since it uses less digits than its factorization.

3445936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145064 (or 145052 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 3445936560 is about 58702.1001327891. The cubic root of 3445936560 is about 1510.4363401368.

It can be divided in two parts, 344593 and 6560, that added together give a palindrome (351153).

The spelling of 3445936560 in words is "three billion, four hundred forty-five million, nine hundred thirty-six thousand, five hundred sixty".