3362840273376 has 288 divisors, whose sum is σ = 10578213854208. Its totient is φ = 1008671477760.

The previous prime is 3362840273369. The next prime is 3362840273399. The reversal of 3362840273376 is 6733720482633.

3362840273376 is a `hidden beast` number, since 3 + 3 + 6 + 284 + 0 + 27 + 337 + 6 = 666.

3362840273376 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 (288).

It is a super-2 number, since 2×3362840273376² (a number of 26 digits) contains 22 as substring.

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, 12463935 + ... + 12730881.

It is an arithmetic number, because the mean of its divisors is an integer number (36729909216).

Almost surely, 2^{3362840273376} is an apocalyptic number.

3362840273376 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 3362840273376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289106927104).

3362840273376 is an abundant number, since it is smaller than the sum of its proper divisors (7215373580832).

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

3362840273376 is a wasteful number, since it uses less digits than its factorization.

3362840273376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267094 (or 267083 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 3362840273376 in words is "three trillion, three hundred sixty-two billion, eight hundred forty million, two hundred seventy-three thousand, three hundred seventy-six".