3356332368480 has 2304 divisors, whose sum is σ = 15338307059712. Its totient is φ = 674085888000.

The previous prime is 3356332368469. The next prime is 3356332368491. The reversal of 3356332368480 is 848632336533.

3356332368480 is a `hidden beast` number, since 3 + 3 + 56 + 33 + 23 + 68 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3356332368469) and next prime (3356332368491).

It is a super-2 number, since 2×3356332368480² (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 383 ways as a sum of consecutive naturals, for example, 7787313865 + ... + 7787314295.

It is an arithmetic number, because the mean of its divisors is an integer number (6657251328).

Almost surely, 2^{3356332368480} is an apocalyptic number.

3356332368480 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 3356332368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669153529856).

3356332368480 is an abundant number, since it is smaller than the sum of its proper divisors (11981974691232).

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

3356332368480 is a wasteful number, since it uses less digits than its factorization.

3356332368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 3356332368480 in words is "three trillion, three hundred fifty-six billion, three hundred thirty-two million, three hundred sixty-eight thousand, four hundred eighty".