34489800 has 120 divisors (see below), whose sum is σ = 119844450. Its totient is φ = 9192960.

The previous prime is 34489789. The next prime is 34489813. The reversal of 34489800 is 898443.

It can be written as a sum of positive squares in 3 ways, for example, as 21399876 + 13089924 = 4626^2 + 3618^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15136 + ... + 17264.

Almost surely, 2^34489800 is an apocalyptic number.

34489800 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 34489800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59922225).

34489800 is an abundant number, since it is smaller than the sum of its proper divisors (85354650).

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

34489800 is a wasteful number, since it uses less digits than its factorization.

34489800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34489800 is about 5872.8017163872. The cubic root of 34489800 is about 325.5094180630.

The spelling of 34489800 in words is "thirty-four million, four hundred eighty-nine thousand, eight hundred".