3785341520268 has 384 divisors, whose sum is σ = 12473201664000. Its totient is φ = 964181940480.

The previous prime is 3785341520263. The next prime is 3785341520297. The reversal of 3785341520268 is 8620251435873.

3785341520268 is a `hidden beast` number, since 3 + 7 + 8 + 53 + 4 + 1 + 520 + 2 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3785341520263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205570630 + ... + 205589042.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296000).

Almost surely, 2^{3785341520268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785341520268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236600832000).

3785341520268 is an abundant number, since it is smaller than the sum of its proper divisors (8687860143732).

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

3785341520268 is a wasteful number, since it uses less digits than its factorization.

3785341520268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18922 (or 18914 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3785341520268 in words is "three trillion, seven hundred eighty-five billion, three hundred forty-one million, five hundred twenty thousand, two hundred sixty-eight".