3291217920 has 380 divisors, whose sum is σ = 12180235584. Its totient is φ = 849346560.

The previous prime is 3291217883. The next prime is 3291217927. The reversal of 3291217920 is 297121923.

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 (3291217927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106168305 + ... + 106168335.

Almost surely, 2^3291217920 is an apocalyptic number.

3291217920 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 3291217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090117792).

3291217920 is an abundant number, since it is smaller than the sum of its proper divisors (8889017664).

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

3291217920 is an frugal number, since it uses more digits than its factorization.

3291217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3291217920 is about 57369.1373475321. The cubic root of 3291217920 is about 1487.4836918392.

The spelling of 3291217920 in words is "three billion, two hundred ninety-one million, two hundred seventeen thousand, nine hundred twenty".