3356158942080 has 3072 divisors, whose sum is σ = 15776243712000. Its totient is φ = 657871994880.

The previous prime is 3356158942067. The next prime is 3356158942109. The reversal of 3356158942080 is 802498516533.

3356158942080 is a `hidden beast` number, since 3 + 3 + 5 + 61 + 5 + 89 + 420 + 80 = 666.

It is a super-2 number, since 2×3356158942080² (a number of 26 digits) contains 22 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 20589932079 + ... + 20589932241.

It is an arithmetic number, because the mean of its divisors is an integer number (5135496000).

Almost surely, 2^{3356158942080} is an apocalyptic number.

3356158942080 is a gapful number since it is divisible by the number (30) 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 3356158942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888121856000).

3356158942080 is an abundant number, since it is smaller than the sum of its proper divisors (12420084769920).

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

3356158942080 is a wasteful number, since it uses less digits than its factorization.

3356158942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3356158942080 in words is "three trillion, three hundred fifty-six billion, one hundred fifty-eight million, nine hundred forty-two thousand, eighty".