3240582228000 has 1920 divisors, whose sum is σ = 13693965981696. Its totient is φ = 743510016000.

The previous prime is 3240582227999. The next prime is 3240582228061. The reversal of 3240582228000 is 8222850423.

3240582228000 is a `hidden beast` number, since 32 + 40 + 582 + 2 + 2 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11957867865 + ... + 11957868135.

Almost surely, 2^{3240582228000} is an apocalyptic number.

3240582228000 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 3240582228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846982990848).

3240582228000 is an abundant number, since it is smaller than the sum of its proper divisors (10453383753696).

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

3240582228000 is a wasteful number, since it uses less digits than its factorization.

3240582228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 3240582228000 in words is "three trillion, two hundred forty billion, five hundred eighty-two million, two hundred twenty-eight thousand".