34310463840 has 192 divisors, whose sum is σ = 120175211520. Its totient is φ = 9142709760.

The previous prime is 34310463839. The next prime is 34310463841. The reversal of 34310463840 is 4836401343.

It is a happy number.

34310463840 is a `hidden beast` number, since 3 + 4 + 3 + 10 + 4 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34310463839) and next prime (34310463841).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 34310463795 and 34310463804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34310463841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9204057 + ... + 9207783.

It is an arithmetic number, because the mean of its divisors is an integer number (625912560).

Almost surely, 2^34310463840 is an apocalyptic number.

34310463840 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 34310463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60087605760).

34310463840 is an abundant number, since it is smaller than the sum of its proper divisors (85864747680).

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

34310463840 is a wasteful number, since it uses less digits than its factorization.

34310463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34310463840 in words is "thirty-four billion, three hundred ten million, four hundred sixty-three thousand, eight hundred forty".