34285020 has 192 divisors, whose sum is σ = 123282432. Its totient is φ = 6912000.

The previous prime is 34285007. The next prime is 34285033. The reversal of 34285020 is 2058243.

It is an interprime number because it is at equal distance from previous prime (34285007) and next prime (34285033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189330 + ... + 189510.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^34285020 is an apocalyptic number.

34285020 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 34285020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

34285020 is an abundant number, since it is smaller than the sum of its proper divisors (88997412).

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

34285020 is a wasteful number, since it uses less digits than its factorization.

34285020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 34285020 is about 5855.3411514616. The cubic root of 34285020 is about 324.8639114649.

It can be divided in two parts, 3428 and 5020, that added together give a palindrome (8448).

The spelling of 34285020 in words is "thirty-four million, two hundred eighty-five thousand, twenty".