3449776320 has 168 divisors, whose sum is σ = 11888388720. Its totient is φ = 918190080.

The previous prime is 3449776277. The next prime is 3449776321. The reversal of 3449776320 is 236779443.

3449776320 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 7 + 7 + 632 + 0 = 666.

3449776320 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 not an unprimeable number, because it can be changed into a prime (3449776321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363751 + ... + 2365209.

Almost surely, 2^3449776320 is an apocalyptic number.

3449776320 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 3449776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944194360).

3449776320 is an abundant number, since it is smaller than the sum of its proper divisors (8438612400).

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

3449776320 is a wasteful number, since it uses less digits than its factorization.

3449776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3449776320 is about 58734.7965008818. The cubic root of 3449776320 is about 1510.9971514086.

The spelling of 3449776320 in words is "three billion, four hundred forty-nine million, seven hundred seventy-six thousand, three hundred twenty".