3376431460512 has 192 divisors, whose sum is σ = 10751475409920. Its totient is φ = 1022372064000.

The previous prime is 3376431460511. The next prime is 3376431460513. The reversal of 3376431460512 is 2150641346733.

3376431460512 is a `hidden beast` number, since 3 + 3 + 7 + 6 + 4 + 31 + 4 + 605 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3376431460511) and next prime (3376431460513).

It is a super-2 number, since 2×3376431460512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3376431460511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12247387 + ... + 12520037.

It is an arithmetic number, because the mean of its divisors is an integer number (55997267760).

Almost surely, 2^{3376431460512} is an apocalyptic number.

3376431460512 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 3376431460512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375737704960).

3376431460512 is an abundant number, since it is smaller than the sum of its proper divisors (7375043949408).

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

3376431460512 is a wasteful number, since it uses less digits than its factorization.

3376431460512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273984 (or 273970 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3376431460512 in words is "three trillion, three hundred seventy-six billion, four hundred thirty-one million, four hundred sixty thousand, five hundred twelve".