3564014040 has 128 divisors (see below), whose sum is σ = 11930212800. Its totient is φ = 946391040.

The previous prime is 3564014039. The next prime is 3564014171. The reversal of 3564014040 is 404104653.

3564014040 is a `hidden beast` number, since 3 + 5 + 640 + 14 + 0 + 4 + 0 = 666.

3564014040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3564013995 and 3564014013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253434 + ... + 267126.

Almost surely, 2^3564014040 is an apocalyptic number.

3564014040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965106400).

3564014040 is an abundant number, since it is smaller than the sum of its proper divisors (8366198760).

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

3564014040 is a wasteful number, since it uses less digits than its factorization.

3564014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3564014040 is about 59699.3638157058. The cubic root of 3564014040 is about 1527.4950166941.

Adding to 3564014040 its reverse (404104653), we get a palindrome (3968118693).

The spelling of 3564014040 in words is "three billion, five hundred sixty-four million, fourteen thousand, forty".