3326346378432 has 1848 divisors, whose sum is σ = 13295507380992. Its totient is φ = 814781721600.

The previous prime is 3326346378389. The next prime is 3326346378461. The reversal of 3326346378432 is 2348736436233.

3326346378432 is a `hidden beast` number, since 3 + 3 + 263 + 4 + 6 + 378 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a super-2 number, since 2×3326346378432² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 46849948957 + ... + 46849949027.

Almost surely, 2^{3326346378432} is an apocalyptic number.

3326346378432 is a gapful number since it is divisible by the number (32) 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 3326346378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647753690496).

3326346378432 is an abundant number, since it is smaller than the sum of its proper divisors (9969161002560).

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

3326346378432 is an equidigital number, since it uses as much as digits as its factorization.

3326346378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 117 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 54.

The spelling of 3326346378432 in words is "three trillion, three hundred twenty-six billion, three hundred forty-six million, three hundred seventy-eight thousand, four hundred thirty-two".