3883998193920 has 1152 divisors, whose sum is σ = 15738012487680. Its totient is φ = 900095016960.

The previous prime is 3883998193909. The next prime is 3883998193927. The reversal of 3883998193920 is 293918993883.

3883998193920 is a `hidden beast` number, since 388 + 39 + 9 + 8 + 193 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3883998193927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 515320392 + ... + 515327928.

Almost surely, 2^{3883998193920} is an apocalyptic number.

3883998193920 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 3883998193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869006243840).

3883998193920 is an abundant number, since it is smaller than the sum of its proper divisors (11854014293760).

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

3883998193920 is a wasteful number, since it uses less digits than its factorization.

3883998193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 3883998193920 in words is "three trillion, eight hundred eighty-three billion, nine hundred ninety-eight million, one hundred ninety-three thousand, nine hundred twenty".