3802691166336 has 512 divisors, whose sum is σ = 11888020684800. Its totient is φ = 1195151044608.

The previous prime is 3802691166319. The next prime is 3802691166347. The reversal of 3802691166336 is 6336611962083.

3802691166336 is a `hidden beast` number, since 38 + 0 + 269 + 1 + 16 + 6 + 336 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619025281 + ... + 619031423.

It is an arithmetic number, because the mean of its divisors is an integer number (23218790400).

Almost surely, 2^{3802691166336} is an apocalyptic number.

3802691166336 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 3802691166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944010342400).

3802691166336 is an abundant number, since it is smaller than the sum of its proper divisors (8085329518464).

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

3802691166336 is a wasteful number, since it uses less digits than its factorization.

3802691166336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3802691166336 in words is "three trillion, eight hundred two billion, six hundred ninety-one million, one hundred sixty-six thousand, three hundred thirty-six".