3482752680 has 384 divisors, whose sum is σ = 13214880000. Its totient is φ = 814302720.

The previous prime is 3482752657. The next prime is 3482752711. The reversal of 3482752680 is 862572843.

3482752680 is a `hidden beast` number, since 3 + 48 + 2 + 7 + 526 + 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 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, 3789261 + ... + 3790179.

It is an arithmetic number, because the mean of its divisors is an integer number (34413750).

Almost surely, 2^3482752680 is an apocalyptic number.

3482752680 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 3482752680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607440000).

3482752680 is an abundant number, since it is smaller than the sum of its proper divisors (9732127320).

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

3482752680 is a wasteful number, since it uses less digits than its factorization.

3482752680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3482752680 is about 59014.8513511641. The cubic root of 3482752680 is about 1515.7964246986.

The spelling of 3482752680 in words is "three billion, four hundred eighty-two million, seven hundred fifty-two thousand, six hundred eighty".