3394254606336 has 728 divisors, whose sum is σ = 11587310473536. Its totient is φ = 983622942720.

The previous prime is 3394254606307. The next prime is 3394254606349. The reversal of 3394254606336 is 6336064524933.

3394254606336 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 2 + 546 + 0 + 63 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 755451706 + ... + 755456198.

Almost surely, 2^{3394254606336} is an apocalyptic number.

3394254606336 is a gapful number since it is divisible by the number (36) 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 3394254606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793655236768).

3394254606336 is an abundant number, since it is smaller than the sum of its proper divisors (8193055867200).

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

3394254606336 is an equidigital number, since it uses as much as digits as its factorization.

3394254606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 3394254606336 in words is "three trillion, three hundred ninety-four billion, two hundred fifty-four million, six hundred six thousand, three hundred thirty-six".