3387278181312 has 392 divisors, whose sum is σ = 10230859314720. Its totient is φ = 1112050114560.

The previous prime is 3387278181289. The next prime is 3387278181319. The reversal of 3387278181312 is 2131818727833.

3387278181312 is a `hidden beast` number, since 3 + 3 + 87 + 2 + 78 + 181 + 312 = 666.

It is a super-2 number, since 2×3387278181312² (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 not an unprimeable number, because it can be changed into a prime (3387278181319) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1166818453 + ... + 1166821355.

Almost surely, 2^{3387278181312} is an apocalyptic number.

3387278181312 is a gapful number since it is divisible by the number (32) 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 3387278181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115429657360).

3387278181312 is an abundant number, since it is smaller than the sum of its proper divisors (6843581133408).

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

3387278181312 is an equidigital number, since it uses as much as digits as its factorization.

3387278181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3278 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 3387278181312 in words is "three trillion, three hundred eighty-seven billion, two hundred seventy-eight million, one hundred eighty-one thousand, three hundred twelve".