3134442462840 has 192 divisors, whose sum is σ = 11447529387840. Its totient is φ = 738009169920.

The previous prime is 3134442462829. The next prime is 3134442462857. The reversal of 3134442462840 is 482642444313.

3134442462840 is a `hidden beast` number, since 3 + 1 + 344 + 4 + 24 + 6 + 284 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14452201 + ... + 14667480.

It is an arithmetic number, because the mean of its divisors is an integer number (59622548895).

Almost surely, 2^{3134442462840} is an apocalyptic number.

3134442462840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134442462840 is an abundant number, since it is smaller than the sum of its proper divisors (8313086925000).

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

3134442462840 is a wasteful number, since it uses less digits than its factorization.

3134442462840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29119734 (or 29119727 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 3134442462840 in words is "three trillion, one hundred thirty-four billion, four hundred forty-two million, four hundred sixty-two thousand, eight hundred forty".