3449083680 has 1152 divisors, whose sum is σ = 15850598400. Its totient is φ = 689762304.

The previous prime is 3449083669. The next prime is 3449083681. The reversal of 3449083680 is 863809443.

3449083680 is a `hidden beast` number, since 3 + 4 + 490 + 83 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449083681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118933906 + ... + 118933934.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^3449083680 is an apocalyptic number.

3449083680 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 3449083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

3449083680 is an abundant number, since it is smaller than the sum of its proper divisors (12401514720).

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

3449083680 is a wasteful number, since it uses less digits than its factorization.

3449083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

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

The square root of 3449083680 is about 58728.8998705067. The cubic root of 3449083680 is about 1510.8960195263.

The spelling of 3449083680 in words is "three billion, four hundred forty-nine million, eighty-three thousand, six hundred eighty".