34130431020 has 48 divisors (see below), whose sum is σ = 109217380608. Its totient is φ = 7801241280.

The previous prime is 34130431007. The next prime is 34130431033. The reversal of 34130431020 is 2013403143.

It is an interprime number because it is at equal distance from previous prime (34130431007) and next prime (34130431033).

It is a super-2 number, since 2×34130431020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40631046 + ... + 40631885.

It is an arithmetic number, because the mean of its divisors is an integer number (2275362096).

Almost surely, 2^34130431020 is an apocalyptic number.

34130431020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130431020 is an abundant number, since it is smaller than the sum of its proper divisors (75086949588).

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

34130431020 is a wasteful number, since it uses less digits than its factorization.

34130431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81262950 (or 81262948 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34130431020 its reverse (2013403143), we get a palindrome (36143834163).

The spelling of 34130431020 in words is "thirty-four billion, one hundred thirty million, four hundred thirty-one thousand, twenty".