3642453360 has 960 divisors, whose sum is σ = 16378951680. Its totient is φ = 731566080.

The previous prime is 3642453359. The next prime is 3642453377. The reversal of 3642453360 is 633542463.

3642453360 is a `hidden beast` number, since 3 + 64 + 2 + 4 + 533 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51302125 + ... + 51302195.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^3642453360 is an apocalyptic number.

3642453360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642453360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

3642453360 is an abundant number, since it is smaller than the sum of its proper divisors (12736498320).

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

3642453360 is a wasteful number, since it uses less digits than its factorization.

3642453360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3642453360 is about 60352.7411142195. The cubic root of 3642453360 is about 1538.6198575483.

The spelling of 3642453360 in words is "three billion, six hundred forty-two million, four hundred fifty-three thousand, three hundred sixty".