34298820 has 72 divisors (see below), whose sum is σ = 105257880. Its totient is φ = 9039360.

The previous prime is 34298801. The next prime is 34298827. The reversal of 34298820 is 2889243.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 28068804 = 2496^2 + 5298^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34298827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14950 + ... + 17090.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 2^34298820 is an apocalyptic number.

34298820 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 34298820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52628940).

34298820 is an abundant number, since it is smaller than the sum of its proper divisors (70959060).

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

34298820 is a wasteful number, since it uses less digits than its factorization.

34298820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2240 counting only the distinct ones).

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

The square root of 34298820 is about 5856.5194441750. The cubic root of 34298820 is about 324.9074924089.

The spelling of 34298820 in words is "thirty-four million, two hundred ninety-eight thousand, eight hundred twenty".