3404488320 has 224 divisors, whose sum is σ = 12204372420. Its totient is φ = 907739136.

The previous prime is 3404488303. The next prime is 3404488333. The reversal of 3404488320 is 238844043.

It can be written as a sum of positive squares in 2 ways, for example, as 3326059584 + 78428736 = 57672^2 + 8856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 462912 + ... + 470208.

Almost surely, 2^3404488320 is an apocalyptic number.

3404488320 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 3404488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102186210).

3404488320 is an abundant number, since it is smaller than the sum of its proper divisors (8799884100).

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

3404488320 is an frugal number, since it uses more digits than its factorization.

3404488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3404488320 is about 58347.9932816888. The cubic root of 3404488320 is about 1504.3559780586.

The spelling of 3404488320 in words is "three billion, four hundred four million, four hundred eighty-eight thousand, three hundred twenty".