3594240000000 has 1152 divisors, whose sum is σ = 14335908612480. Its totient is φ = 884736000000.

The previous prime is 3594239999971. The next prime is 3594240000011. The reversal of 3594240000000 is 424953.

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

It is a super-2 number, since 2×3594240000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 276479999994 + ... + 276480000006.

It is an arithmetic number, because the mean of its divisors is an integer number (12444365115).

Almost surely, 2^{3594240000000} is an apocalyptic number.

3594240000000 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 3594240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167954306240).

3594240000000 is an abundant number, since it is smaller than the sum of its proper divisors (10741668612480).

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

3594240000000 is an frugal number, since it uses more digits than its factorization.

3594240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3594240000000 its reverse (424953), we get a palindrome (3594240424953).

The spelling of 3594240000000 in words is "three trillion, five hundred ninety-four billion, two hundred forty million", and thus it is an aban number.