3404388960 has 384 divisors, whose sum is σ = 13762344960. Its totient is φ = 769886208.

The previous prime is 3404388959. The next prime is 3404388979. The reversal of 3404388960 is 698834043.

3404388960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114174 + ... + 3115266.

It is an arithmetic number, because the mean of its divisors is an integer number (35839440).

Almost surely, 2^3404388960 is an apocalyptic number.

3404388960 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 3404388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881172480).

3404388960 is an abundant number, since it is smaller than the sum of its proper divisors (10357956000).

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

3404388960 is a wasteful number, since it uses less digits than its factorization.

3404388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3404388960 is about 58347.1418323126. The cubic root of 3404388960 is about 1504.3413430386.

The spelling of 3404388960 in words is "three billion, four hundred four million, three hundred eighty-eight thousand, nine hundred sixty".