34963890 has 64 divisors (see below), whose sum is σ = 92848896. Its totient is φ = 8370432.

The previous prime is 34963889. The next prime is 34963897. The reversal of 34963890 is 9836943.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34963897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13219 + ... + 15641.

It is an arithmetic number, because the mean of its divisors is an integer number (1450764).

Almost surely, 2^34963890 is an apocalyptic number.

34963890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34963890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46424448).

34963890 is an abundant number, since it is smaller than the sum of its proper divisors (57885006).

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

34963890 is a wasteful number, since it uses less digits than its factorization.

34963890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483.

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 34963890 is about 5913.0271435196. The cubic root of 34963890 is about 326.9940987816.

It can be divided in two parts, 34963 and 890, that added together give a palindrome (35853).

The spelling of 34963890 in words is "thirty-four million, nine hundred sixty-three thousand, eight hundred ninety".