34345535220 has 192 divisors, whose sum is σ = 111648176640. Its totient is φ = 8748850176.

The previous prime is 34345535209. The next prime is 34345535239. The reversal of 34345535220 is 2253554343.

34345535220 is a `hidden beast` number, since 3 + 4 + 34 + 553 + 52 + 20 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12828522 + ... + 12831198.

It is an arithmetic number, because the mean of its divisors is an integer number (581500920).

Almost surely, 2^34345535220 is an apocalyptic number.

34345535220 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 34345535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55824088320).

34345535220 is an abundant number, since it is smaller than the sum of its proper divisors (77302641420).

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

34345535220 is a wasteful number, since it uses less digits than its factorization.

34345535220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 34345535220 in words is "thirty-four billion, three hundred forty-five million, five hundred thirty-five thousand, two hundred twenty".