3387119512140 has 384 divisors, whose sum is σ = 12977846784000. Its totient is φ = 714184169472.

The previous prime is 3387119512121. The next prime is 3387119512177. The reversal of 3387119512140 is 412159117833.

3387119512140 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 119 + 512 + 14 + 0 = 666.

It is a super-2 number, since 2×3387119512140² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79044841 + ... + 79087679.

It is an arithmetic number, because the mean of its divisors is an integer number (33796476000).

Almost surely, 2^{3387119512140} is an apocalyptic number.

3387119512140 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 3387119512140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488923392000).

3387119512140 is an abundant number, since it is smaller than the sum of its proper divisors (9590727271860).

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

3387119512140 is a wasteful number, since it uses less digits than its factorization.

3387119512140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44486 (or 44478 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 3387119512140 in words is "three trillion, three hundred eighty-seven billion, one hundred nineteen million, five hundred twelve thousand, one hundred forty".