3394040614272 has 768 divisors, whose sum is σ = 12706805529600. Its totient is φ = 872932515840.

The previous prime is 3394040614271. The next prime is 3394040614273. The reversal of 3394040614272 is 2724160404933.

3394040614272 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 0 + 4 + 0 + 614 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3394040614271) and next prime (3394040614273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394040614271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301499268 + ... + 301510524.

It is an arithmetic number, because the mean of its divisors is an integer number (16545319700).

Almost surely, 2^{3394040614272} is an apocalyptic number.

3394040614272 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 3394040614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353402764800).

3394040614272 is an abundant number, since it is smaller than the sum of its proper divisors (9312764915328).

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

3394040614272 is a wasteful number, since it uses less digits than its factorization.

3394040614272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3394040614272 in words is "three trillion, three hundred ninety-four billion, forty million, six hundred fourteen thousand, two hundred seventy-two".