3814050564 has 135 divisors (see below), whose sum is σ = 10328801637. Its totient is φ = 1227254976.

The previous prime is 3814050553. The next prime is 3814050619. The reversal of 3814050564 is 4650504183.

It is a happy number.

The square root of 3814050564 is 61758.

It is a perfect power (a square), and thus also a powerful number.

3814050564 is a `hidden beast` number, since 3 + 8 + 1 + 40 + 50 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2165040900 + 1649009664 = 46530^2 + 40608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52247232 + ... + 52247304.

Almost surely, 2^3814050564 is an apocalyptic number.

3814050564 is the 61758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3814050564

3814050564 is an abundant number, since it is smaller than the sum of its proper divisors (6514751073).

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

3814050564 is an equidigital number, since it uses as much as digits as its factorization.

3814050564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 3814050564 is about 1562.4116986814.

Multiplying 3814050564 by its sum of digits (36), we get a square (137305820304 = 370548²).

3814050564 divided by its sum of digits (36) gives a square (105945849 = 10293²).

Multiplying 3814050564 by its product of nonzero digits (57600), we get a square (219689312486400 = 14821920²).

The spelling of 3814050564 in words is "three billion, eight hundred fourteen million, fifty thousand, five hundred sixty-four".