34201140 has 72 divisors (see below), whose sum is σ = 101132640. Its totient is φ = 8634816.

The previous prime is 34201117. The next prime is 34201151. The reversal of 34201140 is 4110243.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20871 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (1404620).

Almost surely, 2^34201140 is an apocalyptic number.

34201140 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 34201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50566320).

34201140 is an abundant number, since it is smaller than the sum of its proper divisors (66931500).

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

34201140 is a wasteful number, since it uses less digits than its factorization.

34201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34201140 is about 5848.1740740166. The cubic root of 34201140 is about 324.5987632297.

Adding to 34201140 its reverse (4110243), we get a palindrome (38311383).

It can be divided in two parts, 3420 and 1140, that added together give a triangular number (4560 = T₉₅).

The spelling of 34201140 in words is "thirty-four million, two hundred one thousand, one hundred forty".