3484759680 has 192 divisors, whose sum is σ = 12081742920. Its totient is φ = 925532160.

The previous prime is 3484759651. The next prime is 3484759687. The reversal of 3484759680 is 869574843.

3484759680 is a `hidden beast` number, since 3 + 4 + 8 + 47 + 596 + 8 + 0 = 666.

3484759680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2278725696 + 1206033984 = 47736^2 + 34728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3484759687) 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, 1617484 + ... + 1619636.

Almost surely, 2^3484759680 is an apocalyptic number.

3484759680 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 3484759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040871460).

3484759680 is an abundant number, since it is smaller than the sum of its proper divisors (8596983240).

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

3484759680 is a wasteful number, since it uses less digits than its factorization.

3484759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3484759680 is about 59031.8530964428. The cubic root of 3484759680 is about 1516.0875372672.

The spelling of 3484759680 in words is "three billion, four hundred eighty-four million, seven hundred fifty-nine thousand, six hundred eighty".