3564414072 has 80 divisors (see below), whose sum is σ = 10570966560. Its totient is φ = 1118244096.

The previous prime is 3564414071. The next prime is 3564414097. The reversal of 3564414072 is 2704144653.

3564414072 is a `hidden beast` number, since 3 + 5 + 644 + 1 + 4 + 0 + 7 + 2 = 666.

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 (3564414071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150768 + ... + 172799.

It is an arithmetic number, because the mean of its divisors is an integer number (132137082).

Almost surely, 2^3564414072 is an apocalyptic number.

It is an amenable number.

3564414072 is an abundant number, since it is smaller than the sum of its proper divisors (7006552488).

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

3564414072 is a wasteful number, since it uses less digits than its factorization.

3564414072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323602 (or 323589 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3564414072 is about 59702.7141091592. The cubic root of 3564414072 is about 1527.5521642455.

The spelling of 3564414072 in words is "three billion, five hundred sixty-four million, four hundred fourteen thousand, seventy-two".