3279681900 has 180 divisors, whose sum is σ = 11598242040. Its totient is φ = 795052800.

The previous prime is 3279681893. The next prime is 3279681901. The reversal of 3279681900 is 91869723.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3279681900² = 21512626730375220000, which contains 22 as substring.

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 (3279681901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70696 + ... + 107504.

It is an arithmetic number, because the mean of its divisors is an integer number (64434678).

Almost surely, 2^3279681900 is an apocalyptic number.

3279681900 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 3279681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799121020).

3279681900 is an abundant number, since it is smaller than the sum of its proper divisors (8318560140).

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

3279681900 is a wasteful number, since it uses less digits than its factorization.

3279681900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36846 (or 36830 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3279681900 is about 57268.5070523058. The cubic root of 3279681900 is about 1485.7437351957.

The spelling of 3279681900 in words is "three billion, two hundred seventy-nine million, six hundred eighty-one thousand, nine hundred".