3414126394392 has 256 divisors, whose sum is σ = 10411099776000. Its totient is φ = 910747287552.

The previous prime is 3414126394387. The next prime is 3414126394403. The reversal of 3414126394392 is 2934936214143.

3414126394392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903445159 + ... + 903448937.

It is an arithmetic number, because the mean of its divisors is an integer number (40668358500).

Almost surely, 2^{3414126394392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414126394392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205549888000).

3414126394392 is an abundant number, since it is smaller than the sum of its proper divisors (6996973381608).

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

3414126394392 is a wasteful number, since it uses less digits than its factorization.

3414126394392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6254 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The spelling of 3414126394392 in words is "three trillion, four hundred fourteen billion, one hundred twenty-six million, three hundred ninety-four thousand, three hundred ninety-two".