3914242560 has 120 divisors (see below), whose sum is σ = 13556202660. Its totient is φ = 1043791872.

The previous prime is 3914242513. The next prime is 3914242561. The reversal of 3914242560 is 652424193.

It is a happy number.

3914242560 is a `hidden beast` number, since 3 + 91 + 4 + 2 + 4 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3617300736 + 296941824 = 60144^2 + 17232^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914242561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61905 + ... + 107984.

Almost surely, 2^3914242560 is an apocalyptic number.

3914242560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3914242560 is an abundant number, since it is smaller than the sum of its proper divisors (9641960100).

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

3914242560 is a wasteful number, since it uses less digits than its factorization.

3914242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169918 (or 169899 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3914242560 is about 62563.9078063383. The cubic root of 3914242560 is about 1575.9747133634.

The spelling of 3914242560 in words is "three billion, nine hundred fourteen million, two hundred forty-two thousand, five hundred sixty".