3808048264020 has 1152 divisors, whose sum is σ = 16471941857280. Its totient is φ = 685336412160.

The previous prime is 3808048263959. The next prime is 3808048264043. The reversal of 3808048264020 is 204628408083.

3808048264020 is a `hidden beast` number, since 38 + 0 + 80 + 482 + 6 + 40 + 20 = 666.

It is a super-2 number, since 2×3808048264020² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1099636809 + ... + 1099640271.

It is an arithmetic number, because the mean of its divisors is an integer number (14298560640).

Almost surely, 2^{3808048264020} is an apocalyptic number.

3808048264020 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 3808048264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235970928640).

3808048264020 is an abundant number, since it is smaller than the sum of its proper divisors (12663893593260).

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

3808048264020 is a wasteful number, since it uses less digits than its factorization.

3808048264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3808048264020 in words is "three trillion, eight hundred eight billion, forty-eight million, two hundred sixty-four thousand, twenty".