3806742905352 has 384 divisors, whose sum is σ = 11455831296000. Its totient is φ = 1180070581248.

The previous prime is 3806742905321. The next prime is 3806742905359. The reversal of 3806742905352 is 2535092476083.

3806742905352 is a `hidden beast` number, since 3 + 8 + 0 + 67 + 42 + 9 + 0 + 535 + 2 = 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 (3806742905359) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2038961523 + ... + 2038963389.

It is an arithmetic number, because the mean of its divisors is an integer number (29832894000).

Almost surely, 2^{3806742905352} 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 3806742905352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727915648000).

3806742905352 is an abundant number, since it is smaller than the sum of its proper divisors (7649088390648).

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

3806742905352 is a wasteful number, since it uses less digits than its factorization.

3806742905352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3806742905352 in words is "three trillion, eight hundred six billion, seven hundred forty-two million, nine hundred five thousand, three hundred fifty-two".