34860120 has 64 divisors (see below), whose sum is σ = 107965440. Its totient is φ = 8995200.

The previous prime is 34860109. The next prime is 34860131. The reversal of 34860120 is 2106843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34860109) and next prime (34860131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 8405.

It is an arithmetic number, because the mean of its divisors is an integer number (1686960).

Almost surely, 2^34860120 is an apocalyptic number.

34860120 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 34860120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53982720).

34860120 is an abundant number, since it is smaller than the sum of its proper divisors (73105320).

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

34860120 is a wasteful number, since it uses less digits than its factorization.

34860120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34860120 is about 5904.2459298373. The cubic root of 34860120 is about 326.6702808615.

Adding to 34860120 its reverse (2106843), we get a palindrome (36966963).

It can be divided in two parts, 34860 and 120, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 34860120 in words is "thirty-four million, eight hundred sixty thousand, one hundred twenty".