34409640 has 64 divisors (see below), whose sum is σ = 105442560. Its totient is φ = 8979200.

The previous prime is 34409621. The next prime is 34409647. The reversal of 34409640 is 4690443.

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 = 34409598 and 34409607.

It is not an unprimeable number, because it can be changed into a prime (34409647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2590 + ... + 8690.

It is an arithmetic number, because the mean of its divisors is an integer number (1647540).

Almost surely, 2^34409640 is an apocalyptic number.

34409640 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 34409640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52721280).

34409640 is an abundant number, since it is smaller than the sum of its proper divisors (71032920).

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

34409640 is a wasteful number, since it uses less digits than its factorization.

34409640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34409640 is about 5865.9730650592. The cubic root of 34409640 is about 325.2570431987.

The spelling of 34409640 in words is "thirty-four million, four hundred nine thousand, six hundred forty".