3426336718272 has 1792 divisors, whose sum is σ = 12540788736000. Its totient is φ = 917876551680.

The previous prime is 3426336718237. The next prime is 3426336718289. The reversal of 3426336718272 is 2728176336243.

3426336718272 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 3 + 367 + 1 + 8 + 272 = 666.

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 255 ways as a sum of consecutive naturals, for example, 24649904379 + ... + 24649904517.

It is an arithmetic number, because the mean of its divisors is an integer number (6998208000).

Almost surely, 2^{3426336718272} is an apocalyptic number.

3426336718272 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 3426336718272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270394368000).

3426336718272 is an abundant number, since it is smaller than the sum of its proper divisors (9114452017728).

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

3426336718272 is a wasteful number, since it uses less digits than its factorization.

3426336718272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 3426336718272 in words is "three trillion, four hundred twenty-six billion, three hundred thirty-six million, seven hundred eighteen thousand, two hundred seventy-two".