34146840 has 256 divisors, whose sum is σ = 130636800. Its totient is φ = 6948864.

The previous prime is 34146823. The next prime is 34146851. The reversal of 34146840 is 4864143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34146798 and 34146807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578731 + ... + 578789.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^34146840 is an apocalyptic number.

34146840 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 34146840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

34146840 is an abundant number, since it is smaller than the sum of its proper divisors (96489960).

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

34146840 is a wasteful number, since it uses less digits than its factorization.

34146840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34146840 is about 5843.5297552079. The cubic root of 34146840 is about 324.4268873898.

The spelling of 34146840 in words is "thirty-four million, one hundred forty-six thousand, eight hundred forty".