34890240 has 320 divisors, whose sum is σ = 141419520. Its totient is φ = 7127040.

The previous prime is 34890209. The next prime is 34890253. The reversal of 34890240 is 4209843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34890198 and 34890207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591331 + ... + 591389.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^34890240 is an apocalyptic number.

34890240 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 34890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

34890240 is an abundant number, since it is smaller than the sum of its proper divisors (106529280).

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

34890240 is a wasteful number, since it uses less digits than its factorization.

34890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34890240 is about 5906.7960858658. The cubic root of 34890240 is about 326.7643374933.

The spelling of 34890240 in words is "thirty-four million, eight hundred ninety thousand, two hundred forty".