3981501619200 has 1584 divisors, whose sum is σ = 18160845131520. Its totient is φ = 811338301440.

The previous prime is 3981501619189. The next prime is 3981501619213. The reversal of 3981501619200 is 29161051893.

3981501619200 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 5 + 0 + 1 + 619 + 20 + 0 = 666.

3981501619200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 520930579 + ... + 520938221.

Almost surely, 2^{3981501619200} is an apocalyptic number.

3981501619200 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 3981501619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080422565760).

3981501619200 is an abundant number, since it is smaller than the sum of its proper divisors (14179343512320).

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

3981501619200 is a wasteful number, since it uses less digits than its factorization.

3981501619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 3981501619200 in words is "three trillion, nine hundred eighty-one billion, five hundred one million, six hundred nineteen thousand, two hundred".