34401438 has 96 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 9953280.

The previous prime is 34401431. The next prime is 34401439. The reversal of 34401438 is 83410443.

34401438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34401438³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354606 + ... + 354702.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^34401438 is an apocalyptic number.

34401438 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

34401438 is an abundant number, since it is smaller than the sum of its proper divisors (50905602).

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

34401438 is a wasteful number, since it uses less digits than its factorization.

34401438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34401438 is about 5865.2739066475. The cubic root of 34401438 is about 325.2311980164.

The spelling of 34401438 in words is "thirty-four million, four hundred one thousand, four hundred thirty-eight".