34030040 has 96 divisors (see below), whose sum is σ = 86184000. Its totient is φ = 12080640.

The previous prime is 34029997. The next prime is 34030043. The reversal of 34030040 is 4003043.

34030040 = T₄₀₈ + T₄₀₉ + ... + T₆₄₇.

It is a junction number, because it is equal to n+sod(n) for n = 34029997 and 34030024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34030043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382316 + ... + 382404.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 2^34030040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092000).

34030040 is an abundant number, since it is smaller than the sum of its proper divisors (52153960).

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

34030040 is a wasteful number, since it uses less digits than its factorization.

34030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34030040 is about 5833.5272348726. The cubic root of 34030040 is about 324.0565617861.

Adding to 34030040 its reverse (4003043), we get a palindrome (38033083).

The spelling of 34030040 in words is "thirty-four million, thirty thousand, forty", and thus it is an eban number.