3692819115936 has 480 divisors, whose sum is σ = 11296697626368. Its totient is φ = 1182628823040.

The previous prime is 3692819115929. The next prime is 3692819116039. The reversal of 3692819115936 is 6395119182963.

3692819115936 is a `hidden beast` number, since 3 + 6 + 9 + 28 + 1 + 9 + 11 + 593 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2143248771 + ... + 2143250493.

Almost surely, 2^{3692819115936} is an apocalyptic number.

3692819115936 is a gapful number since it is divisible by the number (36) 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 3692819115936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648348813184).

3692819115936 is an abundant number, since it is smaller than the sum of its proper divisors (7603878510432).

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

3692819115936 is a wasteful number, since it uses less digits than its factorization.

3692819115936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2089 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 3692819115936 in words is "three trillion, six hundred ninety-two billion, eight hundred nineteen million, one hundred fifteen thousand, nine hundred thirty-six".