3480081696 has 576 divisors, whose sum is σ = 13195623168. Its totient is φ = 844038144.

The previous prime is 3480081691. The next prime is 3480081721. The reversal of 3480081696 is 6961800843.

3480081696 is a `hidden beast` number, since 3 + 480 + 0 + 8 + 169 + 6 = 666.

It is a super-2 number, since 2×3480081696² = 24221937221668472832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480081691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32524075 + ... + 32524181.

It is an arithmetic number, because the mean of its divisors is an integer number (22909068).

Almost surely, 2^3480081696 is an apocalyptic number.

3480081696 is a gapful number since it is divisible by the number (36) 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 3480081696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597811584).

3480081696 is an abundant number, since it is smaller than the sum of its proper divisors (9715541472).

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

3480081696 is a wasteful number, since it uses less digits than its factorization.

3480081696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3480081696 is about 58992.2172493966. The cubic root of 3480081696 is about 1515.4088286590.

The spelling of 3480081696 in words is "three billion, four hundred eighty million, eighty-one thousand, six hundred ninety-six".