3564902952 has 192 divisors, whose sum is σ = 10937581200. Its totient is φ = 1041223680.

The previous prime is 3564902903. The next prime is 3564902959. The reversal of 3564902952 is 2592094653.

3564902952 is a `hidden beast` number, since 356 + 4 + 9 + 0 + 295 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7257636 + 3557645316 = 2694^2 + 59646^2 .

It is a super-3 number, since 3×3564902952³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3564902898 and 3564902907.

It is not an unprimeable number, because it can be changed into a prime (3564902959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654708 + ... + 1656860.

Almost surely, 2^3564902952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564902952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468790600).

3564902952 is an abundant number, since it is smaller than the sum of its proper divisors (7372678248).

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

3564902952 is a wasteful number, since it uses less digits than its factorization.

3564902952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3564902952 is about 59706.8082550056. The cubic root of 3564902952 is about 1527.6219985901.

The spelling of 3564902952 in words is "three billion, five hundred sixty-four million, nine hundred two thousand, nine hundred fifty-two".