3642576000 has 512 divisors, whose sum is σ = 14221509120. Its totient is φ = 807321600.

The previous prime is 3642575983. The next prime is 3642576011. The reversal of 3642576000 is 6752463.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12431854 + ... + 12432146.

It is an arithmetic number, because the mean of its divisors is an integer number (27776385).

Almost surely, 2^3642576000 is an apocalyptic number.

3642576000 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 3642576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

3642576000 is an abundant number, since it is smaller than the sum of its proper divisors (10578933120).

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

3642576000 is a wasteful number, since it uses less digits than its factorization.

3642576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3642576000 is about 60353.7571324271. The cubic root of 3642576000 is about 1538.6371256002.

The spelling of 3642576000 in words is "three billion, six hundred forty-two million, five hundred seventy-six thousand".