3414339806976 has 2160 divisors, whose sum is σ = 13154629340160. Its totient is φ = 874953031680.

The previous prime is 3414339806951. The next prime is 3414339806989. The reversal of 3414339806976 is 6796089334143.

3414339806976 is a `hidden beast` number, since 3 + 41 + 433 + 98 + 0 + 6 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 48089293021 + ... + 48089293091.

It is an arithmetic number, because the mean of its divisors is an integer number (6090106176).

Almost surely, 2^{3414339806976} is an apocalyptic number.

3414339806976 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 3414339806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577314670080).

3414339806976 is an abundant number, since it is smaller than the sum of its proper divisors (9740289533184).

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

3414339806976 is a wasteful number, since it uses less digits than its factorization.

3414339806976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3414339806976 in words is "three trillion, four hundred fourteen billion, three hundred thirty-nine million, eight hundred six thousand, nine hundred seventy-six".