3273799680 has 240 divisors, whose sum is σ = 11737285560. Its totient is φ = 872792064.

The previous prime is 3273799673. The next prime is 3273799687. The reversal of 3273799680 is 869973723.

It is an interprime number because it is at equal distance from previous prime (3273799673) and next prime (3273799687).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273799687) 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, 827467 + ... + 831413.

Almost surely, 2^3273799680 is an apocalyptic number.

3273799680 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 3273799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868642780).

3273799680 is an abundant number, since it is smaller than the sum of its proper divisors (8463485880).

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

3273799680 is an equidigital number, since it uses as much as digits as its factorization.

3273799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 3273799680 is about 57217.1275056691. The cubic root of 3273799680 is about 1484.8549598166.

The spelling of 3273799680 in words is "three billion, two hundred seventy-three million, seven hundred ninety-nine thousand, six hundred eighty".