34142022240 has 192 divisors, whose sum is σ = 108879240960. Its totient is φ = 8992327680.

The previous prime is 34142022169. The next prime is 34142022251. The reversal of 34142022240 is 4222024143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34142022240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21621771 + ... + 21623349.

It is an arithmetic number, because the mean of its divisors is an integer number (567079380).

Almost surely, 2^34142022240 is an apocalyptic number.

34142022240 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 34142022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54439620480).

34142022240 is an abundant number, since it is smaller than the sum of its proper divisors (74737218720).

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

34142022240 is a wasteful number, since it uses less digits than its factorization.

34142022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34142022240 its reverse (4222024143), we get a palindrome (38364046383).

The spelling of 34142022240 in words is "thirty-four billion, one hundred forty-two million, twenty-two thousand, two hundred forty".