34021220032 has 112 divisors (see below), whose sum is σ = 72621648000. Its totient is φ = 15764834304.

The previous prime is 34021220027. The next prime is 34021220069. The reversal of 34021220032 is 23002212043.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 34021219991 and 34021220009.

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, 16284844 + ... + 16286932.

Almost surely, 2^34021220032 is an apocalyptic number.

34021220032 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 34021220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36310824000).

34021220032 is an abundant number, since it is smaller than the sum of its proper divisors (38600427968).

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

34021220032 is a wasteful number, since it uses less digits than its factorization.

34021220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34021220032 its reverse (23002212043), we get a palindrome (57023432075).

The spelling of 34021220032 in words is "thirty-four billion, twenty-one million, two hundred twenty thousand, thirty-two".