34007040 has 240 divisors, whose sum is σ = 124864740. Its totient is φ = 8847360.

The previous prime is 34006981. The next prime is 34007059. The reversal of 34007040 is 4070043.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 4064256 = 5472^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829420 + ... + 829460.

Almost surely, 2^34007040 is an apocalyptic number.

34007040 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 34007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62432370).

34007040 is an abundant number, since it is smaller than the sum of its proper divisors (90857700).

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

34007040 is an equidigital number, since it uses as much as digits as its factorization.

34007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34007040 is about 5831.5555386192. Note that the first 4 decimals coincide. The cubic root of 34007040 is about 323.9835382583.

Adding to 34007040 its reverse (4070043), we get a palindrome (38077083).

It can be divided in two parts, 3400 and 7040, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 34007040 in words is "thirty-four million, seven thousand, forty".