3564288000 has 1152 divisors, whose sum is σ = 16742194560. Its totient is φ = 707788800.

The previous prime is 3564287971. The next prime is 3564288031. The reversal of 3564288000 is 8824653.

3564288000 is a `hidden beast` number, since 3 + 5 + 642 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209663992 + ... + 209664008.

It is an arithmetic number, because the mean of its divisors is an integer number (14533155).

Almost surely, 2^3564288000 is an apocalyptic number.

3564288000 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 3564288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371097280).

3564288000 is an abundant number, since it is smaller than the sum of its proper divisors (13177906560).

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

3564288000 is a wasteful number, since it uses less digits than its factorization.

3564288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3564288000 is about 59701.6582684267. The cubic root of 3564288000 is about 1527.5341543825.

The spelling of 3564288000 in words is "three billion, five hundred sixty-four million, two hundred eighty-eight thousand".