3836272920480 has 4032 divisors, whose sum is σ = 19201546990080. Its totient is φ = 703557550080.

The previous prime is 3836272920479. The next prime is 3836272920497. The reversal of 3836272920480 is 840292726383.

3836272920480 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 2 + 72 + 92 + 0 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 37245368109 + ... + 37245368211.

It is an arithmetic number, because the mean of its divisors is an integer number (4762288440).

Almost surely, 2^{3836272920480} is an apocalyptic number.

3836272920480 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 3836272920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600773495040).

3836272920480 is an abundant number, since it is smaller than the sum of its proper divisors (15365274069600).

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

3836272920480 is a wasteful number, since it uses less digits than its factorization.

3836272920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3836272920480 in words is "three trillion, eight hundred thirty-six billion, two hundred seventy-two million, nine hundred twenty thousand, four hundred eighty".