3378594447360 has 1140 divisors, whose sum is σ = 13364763494544. Its totient is φ = 815938928640.

The previous prime is 3378594447343. The next prime is 3378594447401. The reversal of 3378594447360 is 637444958733.

It is a happy number.

3378594447360 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 594 + 4 + 4 + 7 + 36 + 0 = 666.

It is a super-2 number, since 2×3378594447360² (a number of 26 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 12846366589 + ... + 12846366851.

Almost surely, 2^{3378594447360} is an apocalyptic number.

3378594447360 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 3378594447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682381747272).

3378594447360 is an abundant number, since it is smaller than the sum of its proper divisors (9986169047184).

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

3378594447360 is an frugal number, since it uses more digits than its factorization.

3378594447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 3378594447360 in words is "three trillion, three hundred seventy-eight billion, five hundred ninety-four million, four hundred forty-seven thousand, three hundred sixty".