3287213280 has 480 divisors, whose sum is σ = 12678573600. Its totient is φ = 797257728.

The previous prime is 3287213273. The next prime is 3287213333. The reversal of 3287213280 is 823127823.

It is a happy number.

3287213280 is a `hidden beast` number, since 328 + 7 + 2 + 1 + 328 + 0 = 666.

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

It is a super-2 number, since 2×3287213280² = 21611542296416716800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 18364231 + ... + 18364409.

It is an arithmetic number, because the mean of its divisors is an integer number (26413695).

Almost surely, 2^3287213280 is an apocalyptic number.

3287213280 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 3287213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339286800).

3287213280 is an abundant number, since it is smaller than the sum of its proper divisors (9391360320).

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

3287213280 is a wasteful number, since it uses less digits than its factorization.

3287213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3287213280 is about 57334.2243341619. The cubic root of 3287213280 is about 1486.8801407632.

The spelling of 3287213280 in words is "three billion, two hundred eighty-seven million, two hundred thirteen thousand, two hundred eighty".