3547212768 has 216 divisors, whose sum is σ = 11183752944. Its totient is φ = 1065630720.

The previous prime is 3547212761. The next prime is 3547212791. The reversal of 3547212768 is 8672127453.

3547212768 is a `hidden beast` number, since 3 + 547 + 21 + 27 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (564480) is a multiple of the sum of its prime divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3547212761) 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 35 ways as a sum of consecutive naturals, for example, 4773805 + ... + 4774547.

It is an arithmetic number, because the mean of its divisors is an integer number (51776634).

Almost surely, 2^3547212768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3547212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591876472).

3547212768 is an abundant number, since it is smaller than the sum of its proper divisors (7636540176).

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

3547212768 is a wasteful number, since it uses less digits than its factorization.

3547212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 896 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3547212768 is about 59558.4819148373. The cubic root of 3547212768 is about 1525.0909583658.

The spelling of 3547212768 in words is "three billion, five hundred forty-seven million, two hundred twelve thousand, seven hundred sixty-eight".