34041840 has 160 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 7434240.

The previous prime is 34041823. The next prime is 34041851. The reversal of 34041840 is 4814043.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34041840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38200 + ... + 39080.

Almost surely, 2^34041840 is an apocalyptic number.

34041840 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 34041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

34041840 is an abundant number, since it is smaller than the sum of its proper divisors (91950096).

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

34041840 is a wasteful number, since it uses less digits than its factorization.

34041840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34041840 is about 5834.5385421642. The cubic root of 34041840 is about 324.0940132607.

Adding to 34041840 its reverse (4814043), we get a palindrome (38855883).

The spelling of 34041840 in words is "thirty-four million, forty-one thousand, eight hundred forty".