3996833280 has 640 divisors, whose sum is σ = 15527863296. Its totient is φ = 872284160.

The previous prime is 3996833249. The next prime is 3996833287. The reversal of 3996833280 is 823386993.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996833287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173775349 + ... + 173775371.

Almost surely, 2^3996833280 is an apocalyptic number.

3996833280 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 3996833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763931648).

3996833280 is an abundant number, since it is smaller than the sum of its proper divisors (11531030016).

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

3996833280 is a wasteful number, since it uses less digits than its factorization.

3996833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 3996833280 is about 63220.5131266743. The cubic root of 3996833280 is about 1586.9820368185.

The spelling of 3996833280 in words is "three billion, nine hundred ninety-six million, eight hundred thirty-three thousand, two hundred eighty".