3642985584 has 160 divisors (see below), whose sum is σ = 12336353280. Its totient is φ = 1007251200.

The previous prime is 3642985583. The next prime is 3642985603. The reversal of 3642985584 is 4855892463.

3642985584 is a `hidden beast` number, since 3 + 64 + 29 + 8 + 558 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3642985584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642985583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74314 + ... + 113174.

It is an arithmetic number, because the mean of its divisors is an integer number (77102208).

Almost surely, 2^3642985584 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 3642985584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168176640).

3642985584 is an abundant number, since it is smaller than the sum of its proper divisors (8693367696).

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

3642985584 is a wasteful number, since it uses less digits than its factorization.

3642985584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38916 (or 38904 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 3642985584 is about 60357.1502309378. The cubic root of 3642985584 is about 1538.6947933541.

The spelling of 3642985584 in words is "three billion, six hundred forty-two million, nine hundred eighty-five thousand, five hundred eighty-four".