34240200030 has 96 divisors (see below), whose sum is σ = 92917056960. Its totient is φ = 8739893760.

The previous prime is 34240200023. The next prime is 34240200109. The reversal of 34240200030 is 3000204243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34240199976 and 34240200012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108031 + ... + 283109.

It is an arithmetic number, because the mean of its divisors is an integer number (967886010).

Almost surely, 2^34240200030 is an apocalyptic number.

34240200030 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 34240200030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46458528480).

34240200030 is an abundant number, since it is smaller than the sum of its proper divisors (58676856930).

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

34240200030 is a wasteful number, since it uses less digits than its factorization.

34240200030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175186 (or 175183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 34240200030 its reverse (3000204243), we get a palindrome (37240404273).

It can be divided in two parts, 34240 and 200030, that added together give a triangular number (234270 = T₆₈₄).

The spelling of 34240200030 in words is "thirty-four billion, two hundred forty million, two hundred thousand, thirty".