34010040 has 96 divisors (see below), whose sum is σ = 105983280. Its totient is φ = 8730624.

The previous prime is 34010023. The next prime is 34010059. The reversal of 34010040 is 4001043.

34010040 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 34009998 and 34010025.

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 23 ways as a sum of consecutive naturals, for example, 100752 + ... + 101088.

Almost surely, 2^34010040 is an apocalyptic number.

34010040 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 34010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52991640).

34010040 is an abundant number, since it is smaller than the sum of its proper divisors (71973240).

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

34010040 is a wasteful number, since it uses less digits than its factorization.

34010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34010040 is about 5831.8127541957. The cubic root of 34010040 is about 323.9930649331.

Adding to 34010040 its reverse (4001043), we get a palindrome (38011083).

The spelling of 34010040 in words is "thirty-four million, ten thousand, forty".