3816972953280 has 280 divisors, whose sum is σ = 13580083687632. Its totient is φ = 1017676597248.

The previous prime is 3816972953279. The next prime is 3816972953291. The reversal of 3816972953280 is 823592796183.

3816972953280 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 97 + 2 + 9 + 532 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206391714 + ... + 206410206.

Almost surely, 2^{3816972953280} is an apocalyptic number.

3816972953280 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 3816972953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790041843816).

3816972953280 is an abundant number, since it is smaller than the sum of its proper divisors (9763110734352).

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

3816972953280 is a wasteful number, since it uses less digits than its factorization.

3816972953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26485 (or 26466 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3816972953280 in words is "three trillion, eight hundred sixteen billion, nine hundred seventy-two million, nine hundred fifty-three thousand, two hundred eighty".