3564450624 has 112 divisors (see below), whose sum is σ = 10810695168. Its totient is φ = 1015346688.

The previous prime is 3564450601. The next prime is 3564450629. The reversal of 3564450624 is 4260544653.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564450629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462547 + ... + 470189.

It is an arithmetic number, because the mean of its divisors is an integer number (96524064).

Almost surely, 2^3564450624 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 3564450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405347584).

3564450624 is an abundant number, since it is smaller than the sum of its proper divisors (7246244544).

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

3564450624 is a wasteful number, since it uses less digits than its factorization.

3564450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The square root of 3564450624 is about 59703.0202251109. The cubic root of 3564450624 is about 1527.5573857578.

It can be divided in two parts, 35644 and 50624, that added together give a palindrome (86268).

The spelling of 3564450624 in words is "three billion, five hundred sixty-four million, four hundred fifty thousand, six hundred twenty-four".