34732890 has 48 divisors (see below), whose sum is σ = 91223496. Its totient is φ = 9168000.

The previous prime is 34732883. The next prime is 34732909. The reversal of 34732890 is 9823743.

It can be written as a sum of positive squares in 4 ways, for example, as 34609689 + 123201 = 5883^2 + 351^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7180 + ... + 11000.

Almost surely, 2^34732890 is an apocalyptic number.

34732890 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 34732890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45611748).

34732890 is an abundant number, since it is smaller than the sum of its proper divisors (56490606).

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

34732890 is a wasteful number, since it uses less digits than its factorization.

34732890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34732890 is about 5893.4616313335. The cubic root of 34732890 is about 326.2723770268.

The spelling of 34732890 in words is "thirty-four million, seven hundred thirty-two thousand, eight hundred ninety".