3359284254720 has 1344 divisors, whose sum is σ = 12970325309760. Its totient is φ = 831680151552.

The previous prime is 3359284254709. The next prime is 3359284254761. The reversal of 3359284254720 is 274524829533.

3359284254720 is a `hidden beast` number, since 3 + 3 + 5 + 92 + 8 + 4 + 2 + 547 + 2 + 0 = 666.

It is a super-2 number, since 2×3359284254720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13071144832 + ... + 13071145088.

It is an arithmetic number, because the mean of its divisors is an integer number (9650539665).

Almost surely, 2^{3359284254720} is an apocalyptic number.

3359284254720 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 3359284254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485162654880).

3359284254720 is an abundant number, since it is smaller than the sum of its proper divisors (9611041055040).

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

3359284254720 is a wasteful number, since it uses less digits than its factorization.

3359284254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3359284254720 in words is "three trillion, three hundred fifty-nine billion, two hundred eighty-four million, two hundred fifty-four thousand, seven hundred twenty".