34882820 has 48 divisors (see below), whose sum is σ = 84217728. Its totient is φ = 11888640.

The previous prime is 34882819. The next prime is 34882873. The reversal of 34882820 is 2828843.

It is a super-2 number, since 2×34882820² = 2433622262304800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26375 + ... + 27665.

It is an arithmetic number, because the mean of its divisors is an integer number (1754536).

Almost surely, 2^34882820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34882820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42108864).

34882820 is an abundant number, since it is smaller than the sum of its proper divisors (49334908).

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

34882820 is a wasteful number, since it uses less digits than its factorization.

34882820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 34882820 is about 5906.1679623932. The cubic root of 34882820 is about 326.7411718623.

The spelling of 34882820 in words is "thirty-four million, eight hundred eighty-two thousand, eight hundred twenty".