34870116384 has 120 divisors (see below), whose sum is σ = 105860418048. Its totient is φ = 11248398720.

The previous prime is 34870116367. The next prime is 34870116401. The reversal of 34870116384 is 48361107843.

34870116384 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 0 + 1 + 1 + 638 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34870116367) and next prime (34870116401).

It is a super-3 number, since 3×34870116384³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136632 + ... + 297335.

Almost surely, 2^34870116384 is an apocalyptic number.

It is an amenable number.

34870116384 is an abundant number, since it is smaller than the sum of its proper divisors (70990301664).

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

34870116384 is a wasteful number, since it uses less digits than its factorization.

34870116384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434020 (or 434003 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 348701 and 16384, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 34870116384 in words is "thirty-four billion, eight hundred seventy million, one hundred sixteen thousand, three hundred eighty-four".