34878900 has 144 divisors (see below), whose sum is σ = 122242176. Its totient is φ = 7495680.

The previous prime is 34878887. The next prime is 34878911. The reversal of 34878900 is 987843.

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 47 ways as a sum of consecutive naturals, for example, 35212 + ... + 36188.

It is an arithmetic number, because the mean of its divisors is an integer number (848904).

Almost surely, 2^34878900 is an apocalyptic number.

34878900 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 34878900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61121088).

34878900 is an abundant number, since it is smaller than the sum of its proper divisors (87363276).

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

34878900 is a wasteful number, since it uses less digits than its factorization.

34878900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 34878900 is about 5905.8360966082. The cubic root of 34878900 is about 326.7289320895.

It can be divided in two parts, 34878 and 900, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 34878900 in words is "thirty-four million, eight hundred seventy-eight thousand, nine hundred".