34332034134420 has 72 divisors (see below), whose sum is σ = 113607822051360. Its totient is φ = 8322917365440.

The previous prime is 34332034134413. The next prime is 34332034134457. The reversal of 34332034134420 is 2443143023343.

34332034134420 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 203 + 4 + 1 + 3 + 442 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8669703610 + ... + 8669707569.

It is an arithmetic number, because the mean of its divisors is an integer number (1577886417380).

Almost surely, 2^{34332034134420} is an apocalyptic number.

34332034134420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34332034134420 is an abundant number, since it is smaller than the sum of its proper divisors (79275787916940).

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

34332034134420 is a wasteful number, since it uses less digits than its factorization.

34332034134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17339411205 (or 17339411200 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34332034134420 its reverse (2443143023343), we get a palindrome (36775177157763).

The spelling of 34332034134420 in words is "thirty-four trillion, three hundred thirty-two billion, thirty-four million, one hundred thirty-four thousand, four hundred twenty".