34768440 has 288 divisors, whose sum is σ = 138181680. Its totient is φ = 7838208.

The previous prime is 34768439. The next prime is 34768441. The reversal of 34768440 is 4486743.

It is an interprime number because it is at equal distance from previous prime (34768439) and next prime (34768441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34768395 and 34768404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476244 + ... + 476316.

Almost surely, 2^34768440 is an apocalyptic number.

34768440 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 34768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69090840).

34768440 is an abundant number, since it is smaller than the sum of its proper divisors (103413240).

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

34768440 is a wasteful number, since it uses less digits than its factorization.

34768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34768440 is about 5896.4769142260. The cubic root of 34768440 is about 326.3836551071.

The spelling of 34768440 in words is "thirty-four million, seven hundred sixty-eight thousand, four hundred forty".