34003341011024 has 160 divisors (see below), whose sum is σ = 86472379699200. Its totient is φ = 12549135582720.

The previous prime is 34003341010993. The next prime is 34003341011027. The reversal of 34003341011024 is 42011014330043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34003341010984 and 34003341011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003341011027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185276234 + ... + 185459670.

It is an arithmetic number, because the mean of its divisors is an integer number (540452373120).

Almost surely, 2^{34003341011024} 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 34003341011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43236189849600).

34003341011024 is an abundant number, since it is smaller than the sum of its proper divisors (52469038688176).

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

34003341011024 is a wasteful number, since it uses less digits than its factorization.

34003341011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191401 (or 191395 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 34003341011024 its reverse (42011014330043), we get a palindrome (76014355341067).

The spelling of 34003341011024 in words is "thirty-four trillion, three billion, three hundred forty-one million, eleven thousand, twenty-four".