3449812680 has 288 divisors, whose sum is σ = 12115434240. Its totient is φ = 881953920.

The previous prime is 3449812651. The next prime is 3449812699. The reversal of 3449812680 is 862189443.

It is a happy number.

3449812680 is a `hidden beast` number, since 3 + 449 + 8 + 126 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32241187 + ... + 32241293.

It is an arithmetic number, because the mean of its divisors is an integer number (42067480).

Almost surely, 2^3449812680 is an apocalyptic number.

3449812680 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 3449812680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057717120).

3449812680 is an abundant number, since it is smaller than the sum of its proper divisors (8665621560).

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

3449812680 is a wasteful number, since it uses less digits than its factorization.

3449812680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3449812680 is about 58735.1060269750. The cubic root of 3449812680 is about 1511.0024599328.

The spelling of 3449812680 in words is "three billion, four hundred forty-nine million, eight hundred twelve thousand, six hundred eighty".