34005820032 has 128 divisors (see below), whose sum is σ = 102698904000. Its totient is φ = 11071613952.

The previous prime is 34005820027. The next prime is 34005820061. The reversal of 34005820032 is 23002850043.

34005820032 is a `hidden beast` number, since 3 + 400 + 58 + 200 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34005819978 and 34005820005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34194 + ... + 263022.

Almost surely, 2^34005820032 is an apocalyptic number.

34005820032 is a gapful number since it is divisible by the number (32) 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 34005820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51349452000).

34005820032 is an abundant number, since it is smaller than the sum of its proper divisors (68693083968).

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

34005820032 is a wasteful number, since it uses less digits than its factorization.

34005820032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228895 (or 228877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 34005820032 in words is "thirty-four billion, five million, eight hundred twenty thousand, thirty-two".