34235820 has 72 divisors (see below), whose sum is σ = 106404480. Its totient is φ = 8904960.

The previous prime is 34235819. The next prime is 34235821. The reversal of 34235820 is 2853243.

It is an interprime number because it is at equal distance from previous prime (34235819) and next prime (34235821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34235821) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (1477840).

Almost surely, 2^34235820 is an apocalyptic number.

34235820 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 34235820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53202240).

34235820 is an abundant number, since it is smaller than the sum of its proper divisors (72168660).

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

34235820 is a wasteful number, since it uses less digits than its factorization.

34235820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34235820 is about 5851.1383507827. The cubic root of 34235820 is about 324.7084406884.

It can be divided in two parts, 342358 and 20, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 34235820 in words is "thirty-four million, two hundred thirty-five thousand, eight hundred twenty".