3378031292160 has 2304 divisors, whose sum is σ = 15080049868800. Its totient is φ = 698720256000.

The previous prime is 3378031292159. The next prime is 3378031292171. The reversal of 3378031292160 is 612921308733.

3378031292160 is a `hidden beast` number, since 3 + 378 + 0 + 31 + 2 + 92 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×3378031292160³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21516122802 + ... + 21516122958.

Almost surely, 2^{3378031292160} is an apocalyptic number.

3378031292160 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 3378031292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540024934400).

3378031292160 is an abundant number, since it is smaller than the sum of its proper divisors (11702018576640).

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

3378031292160 is a wasteful number, since it uses less digits than its factorization.

3378031292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3378031292160 in words is "three trillion, three hundred seventy-eight billion, thirty-one million, two hundred ninety-two thousand, one hundred sixty".