3279952800 has 432 divisors, whose sum is σ = 12401206272. Its totient is φ = 812851200.

The previous prime is 3279952769. The next prime is 3279952807. The reversal of 3279952800 is 82599723.

3279952800 is a `hidden beast` number, since 32 + 7 + 99 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3279952807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15544695 + ... + 15544905.

It is an arithmetic number, because the mean of its divisors is an integer number (28706496).

Almost surely, 2^3279952800 is an apocalyptic number.

3279952800 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 3279952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200603136).

3279952800 is an abundant number, since it is smaller than the sum of its proper divisors (9121253472).

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

3279952800 is a wasteful number, since it uses less digits than its factorization.

3279952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3279952800 is about 57270.8721777484. The cubic root of 3279952800 is about 1485.7846412865.

The spelling of 3279952800 in words is "three billion, two hundred seventy-nine million, nine hundred fifty-two thousand, eight hundred".