34022824290 has 192 divisors, whose sum is σ = 113607277056. Its totient is φ = 6866297856.

The previous prime is 34022824243. The next prime is 34022824309. The reversal of 34022824290 is 9242822043.

34022824290 is a `hidden beast` number, since 3 + 4 + 0 + 228 + 2 + 429 + 0 = 666.

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, 98062 + ... + 278678.

It is an arithmetic number, because the mean of its divisors is an integer number (591704568).

Almost surely, 2^34022824290 is an apocalyptic number.

34022824290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022824290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56803638528).

34022824290 is an abundant number, since it is smaller than the sum of its proper divisors (79584452766).

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

34022824290 is a wasteful number, since it uses less digits than its factorization.

34022824290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180673 (or 180670 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34022824290 in words is "thirty-four billion, twenty-two million, eight hundred twenty-four thousand, two hundred ninety".