3785999314272 has 216 divisors, whose sum is σ = 12280874775624. Its totient is φ = 1018083483648.

The previous prime is 3785999314261. The next prime is 3785999314301. The reversal of 3785999314272 is 2724139995873.

It is a junction number, because it is equal to n+sod(n) for n = 3785999314197 and 3785999314206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33013 + ... + 2751924.

It is an arithmetic number, because the mean of its divisors is an integer number (56855901739).

Almost surely, 2^{3785999314272} is an apocalyptic number.

3785999314272 is a gapful number since it is divisible by the number (32) 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 3785999314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140437387812).

3785999314272 is an abundant number, since it is smaller than the sum of its proper divisors (8494875461352).

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

3785999314272 is a wasteful number, since it uses less digits than its factorization.

3785999314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784998 (or 2784966 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 69.

The spelling of 3785999314272 in words is "three trillion, seven hundred eighty-five billion, nine hundred ninety-nine million, three hundred fourteen thousand, two hundred seventy-two".