34153051020 has 288 divisors, whose sum is σ = 108521054208. Its totient is φ = 8015040000.

The previous prime is 34153050959. The next prime is 34153051033. The reversal of 34153051020 is 2015035143.

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, 34462725 + ... + 34463715.

It is an arithmetic number, because the mean of its divisors is an integer number (376809216).

Almost surely, 2^34153051020 is an apocalyptic number.

34153051020 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 34153051020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54260527104).

34153051020 is an abundant number, since it is smaller than the sum of its proper divisors (74368003188).

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

34153051020 is a wasteful number, since it uses less digits than its factorization.

34153051020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 34153051020 its reverse (2015035143), we get a palindrome (36168086163).

The spelling of 34153051020 in words is "thirty-four billion, one hundred fifty-three million, fifty-one thousand, twenty".