34221914820 has 72 divisors (see below), whose sum is σ = 108319813056. Its totient is φ = 8729067072.

The previous prime is 34221914813. The next prime is 34221914861. The reversal of 34221914820 is 2841912243.

34221914820 is a `hidden beast` number, since 3 + 422 + 191 + 48 + 2 + 0 = 666.

It is a super-3 number, since 3×34221914820³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 4128942 + ... + 4137221.

It is an arithmetic number, because the mean of its divisors is an integer number (1504441848).

Almost surely, 2^34221914820 is an apocalyptic number.

34221914820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34221914820 is an abundant number, since it is smaller than the sum of its proper divisors (74097898236).

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

34221914820 is a wasteful number, since it uses less digits than its factorization.

34221914820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266201 (or 8266196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 34221914820 in words is "thirty-four billion, two hundred twenty-one million, nine hundred fourteen thousand, eight hundred twenty".