34809840 has 120 divisors (see below), whose sum is σ = 125929440. Its totient is φ = 8566272.

The previous prime is 34809839. The next prime is 34809871. The reversal of 34809840 is 4890843.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 34809795 and 34809804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7501 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 2^34809840 is an apocalyptic number.

34809840 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 34809840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

34809840 is an abundant number, since it is smaller than the sum of its proper divisors (91119600).

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

34809840 is a wasteful number, since it uses less digits than its factorization.

34809840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34809840 is about 5899.9864406624. The cubic root of 34809840 is about 326.5131492085.

The spelling of 34809840 in words is "thirty-four million, eight hundred nine thousand, eight hundred forty".