34346401024 has 144 divisors (see below), whose sum is σ = 76871733120. Its totient is φ = 15206768640.

The previous prime is 34346401021. The next prime is 34346401079. The reversal of 34346401024 is 42010464343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346401021) 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, 16116439 + ... + 16118569.

It is an arithmetic number, because the mean of its divisors is an integer number (533831480).

Almost surely, 2^34346401024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34346401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435866560).

34346401024 is an abundant number, since it is smaller than the sum of its proper divisors (42525332096).

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

34346401024 is a wasteful number, since it uses less digits than its factorization.

34346401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34346401024 its reverse (42010464343), we get a palindrome (76356865367).

The spelling of 34346401024 in words is "thirty-four billion, three hundred forty-six million, four hundred one thousand, twenty-four".