3217942080 has 336 divisors, whose sum is σ = 11882445120. Its totient is φ = 827947008.

The previous prime is 3217942043. The next prime is 3217942081. The reversal of 3217942080 is 802497123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3217942081) 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, 2254327 + ... + 2255753.

It is an arithmetic number, because the mean of its divisors is an integer number (35364420).

Almost surely, 2^3217942080 is an apocalyptic number.

3217942080 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 3217942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941222560).

3217942080 is an abundant number, since it is smaller than the sum of its proper divisors (8664503040).

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

3217942080 is a wasteful number, since it uses less digits than its factorization.

3217942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3217942080 is about 56726.9079009248. The cubic root of 3217942080 is about 1476.3616008758.

The spelling of 3217942080 in words is "three billion, two hundred seventeen million, nine hundred forty-two thousand, eighty".