34665840 has 160 divisors (see below), whose sum is σ = 130348800. Its totient is φ = 8398080.

The previous prime is 34665809. The next prime is 34665859. The reversal of 34665840 is 4856643.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34665795 and 34665804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23031 + ... + 24489.

It is an arithmetic number, because the mean of its divisors is an integer number (814680).

Almost surely, 2^34665840 is an apocalyptic number.

34665840 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 34665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65174400).

34665840 is an abundant number, since it is smaller than the sum of its proper divisors (95682960).

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

34665840 is a wasteful number, since it uses less digits than its factorization.

34665840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34665840 is about 5887.7703759573. The cubic root of 34665840 is about 326.0622912822.

The spelling of 34665840 in words is "thirty-four million, six hundred sixty-five thousand, eight hundred forty".