34259940 has 180 divisors, whose sum is σ = 123106620. Its totient is φ = 7666560.

The previous prime is 34259921. The next prime is 34259941. The reversal of 34259940 is 4995243.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 25826724 = 2904^2 + 5082^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 34259895 and 34259904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34259941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2635374 + ... + 2635386.

Almost surely, 2^34259940 is an apocalyptic number.

34259940 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 34259940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61553310).

34259940 is an abundant number, since it is smaller than the sum of its proper divisors (88846680).

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

34259940 is a wasteful number, since it uses less digits than its factorization.

34259940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 34259940 is about 5853.1991252647. The cubic root of 34259940 is about 324.7846778871.

The spelling of 34259940 in words is "thirty-four million, two hundred fifty-nine thousand, nine hundred forty".