34526465220 has 384 divisors, whose sum is σ = 112935513600. Its totient is φ = 7809564672.

The previous prime is 34526465213. The next prime is 34526465227. The reversal of 34526465220 is 2256462543.

It is an interprime number because it is at equal distance from previous prime (34526465213) and next prime (34526465227).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (34526465227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88756786 + ... + 88757174.

It is an arithmetic number, because the mean of its divisors is an integer number (294102900).

Almost surely, 2^34526465220 is an apocalyptic number.

34526465220 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 34526465220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56467756800).

34526465220 is an abundant number, since it is smaller than the sum of its proper divisors (78409048380).

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

34526465220 is a wasteful number, since it uses less digits than its factorization.

34526465220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 34526465220 in words is "thirty-four billion, five hundred twenty-six million, four hundred sixty-five thousand, two hundred twenty".