34407840 has 96 divisors (see below), whose sum is σ = 109650240. Its totient is φ = 9068544.

The previous prime is 34407829. The next prime is 34407853. The reversal of 34407840 is 4870443.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 34407798 and 34407807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46191 + ... + 46929.

It is an arithmetic number, because the mean of its divisors is an integer number (1142190).

Almost surely, 2^34407840 is an apocalyptic number.

34407840 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 34407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54825120).

34407840 is an abundant number, since it is smaller than the sum of its proper divisors (75242400).

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

34407840 is a wasteful number, since it uses less digits than its factorization.

34407840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 34407840 is about 5865.8196358224. The cubic root of 34407840 is about 325.2513716012.

The spelling of 34407840 in words is "thirty-four million, four hundred seven thousand, eight hundred forty".