3808937722500 has 225 divisors, whose sum is σ = 12445531177849. Its totient is φ = 1015482528000.

The previous prime is 3808937722489. The next prime is 3808937722553. The reversal of 3808937722500 is 52277398083.

The square root of 3808937722500 is 1951650.

It is a perfect power (a square), and thus also a powerful number.

3808937722500 is a `hidden beast` number, since 3 + 8 + 0 + 89 + 37 + 7 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3691678047876 + 117259674624 = 1921374^2 + 342432^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 878240332 + ... + 878244668.

Almost surely, 2^{3808937722500} is an apocalyptic number.

3808937722500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3808937722500 is the 1951650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3808937722500

3808937722500 is an abundant number, since it is smaller than the sum of its proper divisors (8636593455349).

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

3808937722500 is an frugal number, since it uses more digits than its factorization.

3808937722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3808937722500 in words is "three trillion, eight hundred eight billion, nine hundred thirty-seven million, seven hundred twenty-two thousand, five hundred".