34872120 has 160 divisors (see below), whose sum is σ = 120225600. Its totient is φ = 9061632.

The previous prime is 34872107. The next prime is 34872121. The reversal of 34872120 is 2127843.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34872121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152166 + ... + 152394.

It is an arithmetic number, because the mean of its divisors is an integer number (751410).

Almost surely, 2^34872120 is an apocalyptic number.

34872120 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 34872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60112800).

34872120 is an abundant number, since it is smaller than the sum of its proper divisors (85353480).

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

34872120 is a wasteful number, since it uses less digits than its factorization.

34872120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34872120 is about 5905.2620602307. The cubic root of 34872120 is about 326.7077601134.

Adding to 34872120 its reverse (2127843), we get a palindrome (36999963).

The spelling of 34872120 in words is "thirty-four million, eight hundred seventy-two thousand, one hundred twenty".