34212565620 has 288 divisors, whose sum is σ = 115847948160. Its totient is φ = 8375685120.

The previous prime is 34212565567. The next prime is 34212565633. The reversal of 34212565620 is 2656521243.

34212565620 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 25 + 6 + 5 + 620 = 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 95 ways as a sum of consecutive naturals, for example, 6395787 + ... + 6401133.

It is an arithmetic number, because the mean of its divisors is an integer number (402249820).

Almost surely, 2^34212565620 is an apocalyptic number.

34212565620 is a gapful number since it is divisible by the number (30) 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 34212565620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57923974080).

34212565620 is an abundant number, since it is smaller than the sum of its proper divisors (81635382540).

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

34212565620 is a wasteful number, since it uses less digits than its factorization.

34212565620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34212565620 in words is "thirty-four billion, two hundred twelve million, five hundred sixty-five thousand, six hundred twenty".