34280820 has 120 divisors (see below), whose sum is σ = 122943744. Its totient is φ = 7833024.

The previous prime is 34280819. The next prime is 34280837. The reversal of 34280820 is 2808243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9829 + ... + 12851.

Almost surely, 2^34280820 is an apocalyptic number.

34280820 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 34280820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

34280820 is an abundant number, since it is smaller than the sum of its proper divisors (88662924).

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

34280820 is a wasteful number, since it uses less digits than its factorization.

34280820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34280820 is about 5854.9824935690. The cubic root of 34280820 is about 324.8506453781.

The spelling of 34280820 in words is "thirty-four million, two hundred eighty thousand, eight hundred twenty".