3792706894080 has 1944 divisors, whose sum is σ = 15622462195704. Its totient is φ = 844197396480.

The previous prime is 3792706894073. The next prime is 3792706894127. The reversal of 3792706894080 is 804986072973.

3792706894080 is a `hidden beast` number, since 379 + 2 + 70 + 6 + 89 + 40 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96716024064 + 3695990870016 = 310992^2 + 1922496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3792706893999 and 3792706894017.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51954888924 + ... + 51954888996.

Almost surely, 2^{3792706894080} is an apocalyptic number.

3792706894080 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 3792706894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811231097852).

3792706894080 is an abundant number, since it is smaller than the sum of its proper divisors (11829755301624).

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

3792706894080 is a wasteful number, since it uses less digits than its factorization.

3792706894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3792706894080 in words is "three trillion, seven hundred ninety-two billion, seven hundred six million, eight hundred ninety-four thousand, eighty".