3738688000 has 80 divisors (see below), whose sum is σ = 9322811784. Its totient is φ = 1495449600.

The previous prime is 3738687983. The next prime is 3738688027. The reversal of 3738688000 is 8868373.

It can be written as a sum of positive squares in 4 ways, for example, as 1982742784 + 1755945216 = 44528^2 + 41904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3738688000² = 27955575922688000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34792 + ... + 93208.

Almost surely, 2^3738688000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661405892).

3738688000 is an abundant number, since it is smaller than the sum of its proper divisors (5584123784).

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

3738688000 is an frugal number, since it uses more digits than its factorization.

3738688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58450 (or 58424 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 3738688000 is about 61144.8117177574. The cubic root of 3738688000 is about 1552.0525011467.

The spelling of 3738688000 in words is "three billion, seven hundred thirty-eight million, six hundred eighty-eight thousand".