34463027016 has 128 divisors (see below), whose sum is σ = 106145884800. Its totient is φ = 10272096000.

The previous prime is 34463027009. The next prime is 34463027021. The reversal of 34463027016 is 61072036443.

It is a happy number.

34463027016 is a `hidden beast` number, since 3 + 4 + 4 + 630 + 2 + 7 + 0 + 16 = 666.

It is a super-2 number, since 2×34463027016² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26046 + ... + 263826.

It is an arithmetic number, because the mean of its divisors is an integer number (829264725).

Almost surely, 2^34463027016 is an apocalyptic number.

34463027016 is a gapful number since it is divisible by the number (36) 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 34463027016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53072942400).

34463027016 is an abundant number, since it is smaller than the sum of its proper divisors (71682857784).

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

34463027016 is a wasteful number, since it uses less digits than its factorization.

34463027016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237868 (or 237858 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34463027016 in words is "thirty-four billion, four hundred sixty-three million, twenty-seven thousand, sixteen".