3785469910992 has 400 divisors, whose sum is σ = 14253648279552. Its totient is φ = 940488848640.

The previous prime is 3785469910961. The next prime is 3785469910993. The reversal of 3785469910992 is 2990199645873.

3785469910992 is a `hidden beast` number, since 3 + 78 + 5 + 469 + 9 + 1 + 0 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3785469910992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785469910993) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1470573 + ... + 3119859.

It is a 1-persistent number, because it is pandigital, but 2⋅3785469910992 = 7570939821984 is not.

Almost surely, 2^{3785469910992} 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 3785469910992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126824139776).

3785469910992 is an abundant number, since it is smaller than the sum of its proper divisors (10468178368560).

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

3785469910992 is a wasteful number, since it uses less digits than its factorization.

3785469910992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649348 (or 1649333 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 3785469910992 in words is "three trillion, seven hundred eighty-five billion, four hundred sixty-nine million, nine hundred ten thousand, nine hundred ninety-two".