3217543680 has 480 divisors, whose sum is σ = 11609953344. Its totient is φ = 759103488.

The previous prime is 3217543633. The next prime is 3217543687. The reversal of 3217543680 is 863457123.

3217543680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3217543687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48023007 + ... + 48023073.

Almost surely, 2^3217543680 is an apocalyptic number.

3217543680 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 3217543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804976672).

3217543680 is an abundant number, since it is smaller than the sum of its proper divisors (8392409664).

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

3217543680 is a wasteful number, since it uses less digits than its factorization.

3217543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3217543680 is about 56723.3962311849. The cubic root of 3217543680 is about 1476.3006709686.

It can be divided in two parts, 32175 and 43680, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 3217543680 in words is "three billion, two hundred seventeen million, five hundred forty-three thousand, six hundred eighty".