3114813834000 has 240 divisors, whose sum is σ = 11868007791744. Its totient is φ = 755106336000.

The previous prime is 3114813833953. The next prime is 3114813834017. The reversal of 3114813834000 is 4383184113.

It is a happy number.

3114813834000 is a `hidden beast` number, since 3 + 114 + 8 + 138 + 3 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7667692 + ... + 8063691.

Almost surely, 2^{3114813834000} is an apocalyptic number.

3114813834000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3114813834000 is an abundant number, since it is smaller than the sum of its proper divisors (8753193957744).

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

3114813834000 is a wasteful number, since it uses less digits than its factorization.

3114813834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15731423 (or 15731404 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3114813834000 in words is "three trillion, one hundred fourteen billion, eight hundred thirteen million, eight hundred thirty-four thousand".