34003241413328 has 80 divisors (see below), whose sum is σ = 75954553597440. Its totient is φ = 14584206960000.

The previous prime is 34003241413327. The next prime is 34003241413381. The reversal of 34003241413328 is 82331414230043.

It is a super-2 number, since 2×34003241413328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 34003241413291 and 34003241413300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003241413327) 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, 19416500 + ... + 21095187.

It is an arithmetic number, because the mean of its divisors is an integer number (949431919968).

Almost surely, 2^{34003241413328} is an apocalyptic number.

34003241413328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34003241413328 is an abundant number, since it is smaller than the sum of its proper divisors (41951312184112).

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

34003241413328 is a wasteful number, since it uses less digits than its factorization.

34003241413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40511976 (or 40511970 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 34003241413328 in words is "thirty-four trillion, three billion, two hundred forty-one million, four hundred thirteen thousand, three hundred twenty-eight".