34395840 has 140 divisors (see below), whose sum is σ = 122444256. Its totient is φ = 9165312.

The previous prime is 34395839. The next prime is 34395841. The reversal of 34395840 is 4859343.

It is an interprime number because it is at equal distance from previous prime (34395839) and next prime (34395841).

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 = 34395795 and 34395804.

It is not an unprimeable number, because it can be changed into a prime (34395841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25257 + ... + 26583.

Almost surely, 2^34395840 is an apocalyptic number.

34395840 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 34395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61222128).

34395840 is an abundant number, since it is smaller than the sum of its proper divisors (88048416).

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

34395840 is a wasteful number, since it uses less digits than its factorization.

34395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34395840 is about 5864.7966716673. The cubic root of 34395840 is about 325.2135558952.

The spelling of 34395840 in words is "thirty-four million, three hundred ninety-five thousand, eight hundred forty".