3883926412800 has 2400 divisors, whose sum is σ = 17297075963904. Its totient is φ = 842047488000.

The previous prime is 3883926412783. The next prime is 3883926412829. The reversal of 3883926412800 is 82146293883.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13724121459 + ... + 13724121741.

Almost surely, 2^{3883926412800} is an apocalyptic number.

3883926412800 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 3883926412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648537981952).

3883926412800 is an abundant number, since it is smaller than the sum of its proper divisors (13413149551104).

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

3883926412800 is a wasteful number, since it uses less digits than its factorization.

3883926412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3883926412800 in words is "three trillion, eight hundred eighty-three billion, nine hundred twenty-six million, four hundred twelve thousand, eight hundred".