34140000210 has 32 divisors (see below), whose sum is σ = 82347753600. Its totient is φ = 9058249728.

The previous prime is 34140000203. The next prime is 34140000217. The reversal of 34140000210 is 1200004143.

It is an interprime number because it is at equal distance from previous prime (34140000203) and next prime (34140000217).

It is a super-2 number, since 2×34140000210² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34140000210.

It is not an unprimeable number, because it can be changed into a prime (34140000217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853327 + ... + 2865266.

It is an arithmetic number, because the mean of its divisors is an integer number (2573367300).

Almost surely, 2^34140000210 is an apocalyptic number.

34140000210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34140000210 is an abundant number, since it is smaller than the sum of its proper divisors (48207753390).

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

34140000210 is a wasteful number, since it uses less digits than its factorization.

34140000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718802.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 34140000210 its reverse (1200004143), we get a palindrome (35340004353).

The spelling of 34140000210 in words is "thirty-four billion, one hundred forty million, two hundred ten", and thus it is an aban number.