3783997226016 has 360 divisors, whose sum is σ = 12956716531836. Its totient is φ = 1080209571840.

The previous prime is 3783997226011. The next prime is 3783997226033. The reversal of 3783997226016 is 6106227993873.

3783997226016 is a `hidden beast` number, since 3 + 7 + 8 + 399 + 7 + 226 + 0 + 16 = 666.

3783997226016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3135746806416 + 648250419600 = 1770804^2 + 805140^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3783997226011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 154556496 + ... + 154580976.

Almost surely, 2^{3783997226016} is an apocalyptic number.

3783997226016 is a gapful number since it is divisible by the number (36) 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 3783997226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478358265918).

3783997226016 is an abundant number, since it is smaller than the sum of its proper divisors (9172719305820).

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

3783997226016 is a wasteful number, since it uses less digits than its factorization.

3783997226016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25734 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 3783997226016 in words is "three trillion, seven hundred eighty-three billion, nine hundred ninety-seven million, two hundred twenty-six thousand, sixteen".