3391746374016 has 384 divisors, whose sum is σ = 13104479082240. Its totient is φ = 813205647360.

The previous prime is 3391746373933. The next prime is 3391746374033. The reversal of 3391746374016 is 6104736471933.

3391746374016 is a `hidden beast` number, since 3 + 3 + 9 + 174 + 63 + 7 + 401 + 6 = 666.

3391746374016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317490 + ... + 2623793.

It is an arithmetic number, because the mean of its divisors is an integer number (34126247610).

Almost surely, 2^{3391746374016} is an apocalyptic number.

3391746374016 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 3391746374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552239541120).

3391746374016 is an abundant number, since it is smaller than the sum of its proper divisors (9712732708224).

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

3391746374016 is a wasteful number, since it uses less digits than its factorization.

3391746374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941334 (or 2941319 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3391746374016 in words is "three trillion, three hundred ninety-one billion, seven hundred forty-six million, three hundred seventy-four thousand, sixteen".