3404107440 has 240 divisors, whose sum is σ = 11711437920. Its totient is φ = 885841920.

The previous prime is 3404107403. The next prime is 3404107453. The reversal of 3404107440 is 447014043.

3404107440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3404107440³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7861464 + ... + 7861896.

It is an arithmetic number, because the mean of its divisors is an integer number (48797658).

Almost surely, 2^3404107440 is an apocalyptic number.

3404107440 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 3404107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855718960).

3404107440 is an abundant number, since it is smaller than the sum of its proper divisors (8307330480).

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

3404107440 is a wasteful number, since it uses less digits than its factorization.

3404107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3404107440 is about 58344.7293249356. The cubic root of 3404107440 is about 1504.2998756021.

The spelling of 3404107440 in words is "three billion, four hundred four million, one hundred seven thousand, four hundred forty".