34020000 has 360 divisors, whose sum is σ = 143279136. Its totient is φ = 7776000.

The previous prime is 34019981. The next prime is 34020001. The reversal of 34020000 is 2043.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (34020001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4859997 + ... + 4860003.

Almost surely, 2^34020000 is an apocalyptic number.

34020000 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 34020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71639568).

34020000 is an abundant number, since it is smaller than the sum of its proper divisors (109259136).

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

34020000 is an frugal number, since it uses more digits than its factorization.

34020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 34020000 is about 5832.6666285671. Note that the first 4 decimals coincide. The cubic root of 34020000 is about 324.0246894766.

Adding to 34020000 its reverse (2043), we get a palindrome (34022043).

The spelling of 34020000 in words is "thirty-four million, twenty thousand".