3327217920 has 324 divisors, whose sum is σ = 12472763940. Its totient is φ = 818528256.

The previous prime is 3327217897. The next prime is 3327217931. The reversal of 3327217920 is 297127233.

It can be written as a sum of positive squares in 6 ways, for example, as 1154912256 + 2172305664 = 33984^2 + 46608^2 .

It is a super-2 number, since 2×3327217920² = 22140758174338252800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1946026 + ... + 1947734.

It is an arithmetic number, because the mean of its divisors is an integer number (38496185).

Almost surely, 2^3327217920 is an apocalyptic number.

3327217920 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 3327217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236381970).

3327217920 is an abundant number, since it is smaller than the sum of its proper divisors (9145546020).

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

3327217920 is a wasteful number, since it uses less digits than its factorization.

3327217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3327217920 is about 57682.0415727460. The cubic root of 3327217920 is about 1492.8875015482.

The spelling of 3327217920 in words is "three billion, three hundred twenty-seven million, two hundred seventeen thousand, nine hundred twenty".