34138440 has 384 divisors, whose sum is σ = 143769600. Its totient is φ = 6842880.

The previous prime is 34138439. The next prime is 34138441. The reversal of 34138440 is 4483143.

It is an interprime number because it is at equal distance from previous prime (34138439) and next prime (34138441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34138441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1101225 + ... + 1101255.

It is an arithmetic number, because the mean of its divisors is an integer number (374400).

Almost surely, 2^34138440 is an apocalyptic number.

34138440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34138440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

34138440 is an abundant number, since it is smaller than the sum of its proper divisors (109631160).

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

34138440 is a wasteful number, since it uses less digits than its factorization.

34138440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

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

The square root of 34138440 is about 5842.8109673341. The cubic root of 34138440 is about 324.4002825917.

It can be divided in two parts, 341 and 38440, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 34138440 in words is "thirty-four million, one hundred thirty-eight thousand, four hundred forty".