34688820 has 48 divisors (see below), whose sum is σ = 99203328. Its totient is φ = 9052800.

The previous prime is 34688791. The next prime is 34688833. The reversal of 34688820 is 2888643.

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 15 ways as a sum of consecutive naturals, for example, 3331 + ... + 8970.

It is an arithmetic number, because the mean of its divisors is an integer number (2066736).

Almost surely, 2^34688820 is an apocalyptic number.

34688820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34688820 is an abundant number, since it is smaller than the sum of its proper divisors (64514508).

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

34688820 is a wasteful number, since it uses less digits than its factorization.

34688820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 34688820 is about 5889.7215553878. The cubic root of 34688820 is about 326.1343243112.

The spelling of 34688820 in words is "thirty-four million, six hundred eighty-eight thousand, eight hundred twenty".