34401240 has 128 divisors (see below), whose sum is σ = 117028800. Its totient is φ = 8985600.

The previous prime is 34401239. The next prime is 34401271. The reversal of 34401240 is 4210443.

34401240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56940 + ... + 57540.

Almost surely, 2^34401240 is an apocalyptic number.

34401240 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 34401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58514400).

34401240 is an abundant number, since it is smaller than the sum of its proper divisors (82627560).

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

34401240 is a wasteful number, since it uses less digits than its factorization.

34401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34401240 is about 5865.2570276161. The cubic root of 34401240 is about 325.2305740512.

Adding to 34401240 its reverse (4210443), we get a palindrome (38611683).

The spelling of 34401240 in words is "thirty-four million, four hundred one thousand, two hundred forty".