34123132410 has 96 divisors (see below), whose sum is σ = 83392581888. Its totient is φ = 8936040960.

The previous prime is 34123132367. The next prime is 34123132427. The reversal of 34123132410 is 1423132143.

It is a happy 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, 73699839 + ... + 73700301.

It is an arithmetic number, because the mean of its divisors is an integer number (868672728).

Almost surely, 2^34123132410 is an apocalyptic number.

34123132410 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 34123132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696290944).

34123132410 is an abundant number, since it is smaller than the sum of its proper divisors (49269449478).

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

34123132410 is a wasteful number, since it uses less digits than its factorization.

34123132410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34123132410 its reverse (1423132143), we get a palindrome (35546264553).

The spelling of 34123132410 in words is "thirty-four billion, one hundred twenty-three million, one hundred thirty-two thousand, four hundred ten".