3984233526720 has 336 divisors, whose sum is σ = 14362433616960. Its totient is φ = 1011826556928.

The previous prime is 3984233526709. The next prime is 3984233526727. The reversal of 3984233526720 is 276253324893.

It is a happy number.

3984233526720 is a `hidden beast` number, since 3 + 9 + 8 + 42 + 3 + 3 + 526 + 72 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984233526727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15037632 + ... + 15300288.

Almost surely, 2^{3984233526720} is an apocalyptic number.

3984233526720 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 3984233526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181216808480).

3984233526720 is an abundant number, since it is smaller than the sum of its proper divisors (10378200090240).

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

3984233526720 is a wasteful number, since it uses less digits than its factorization.

3984233526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262932 (or 262919 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3984233526720 in words is "three trillion, nine hundred eighty-four billion, two hundred thirty-three million, five hundred twenty-six thousand, seven hundred twenty".