3808418752320 has 672 divisors, whose sum is σ = 15203242631808. Its totient is φ = 800598048768.

The previous prime is 3808418752277. The next prime is 3808418752343. The reversal of 3808418752320 is 232578148083.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169379799 + ... + 169402281.

It is an arithmetic number, because the mean of its divisors is an integer number (22623872964).

Almost surely, 2^{3808418752320} is an apocalyptic number.

3808418752320 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 3808418752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601621315904).

3808418752320 is an abundant number, since it is smaller than the sum of its proper divisors (11394823879488).

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

3808418752320 is a wasteful number, since it uses less digits than its factorization.

3808418752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22807 (or 22790 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 3808418752320 in words is "three trillion, eight hundred eight billion, four hundred eighteen million, seven hundred fifty-two thousand, three hundred twenty".