3845488144 has 45 divisors (see below), whose sum is σ = 7675763277. Its totient is φ = 1866313152.

The previous prime is 3845488121. The next prime is 3845488177. The reversal of 3845488144 is 4418845483.

It is a happy number.

The square root of 3845488144 is 62012.

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

3845488144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3440995600 + 404492544 = 58660^2 + 20112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9177567 + ... + 9177985.

Almost surely, 2^3845488144 is an apocalyptic number.

3845488144 is the 62012-nd square number.

It is an amenable number.

3845488144 is a deficient number, since it is larger than the sum of its proper divisors (3830275133).

3845488144 is an frugal number, since it uses more digits than its factorization.

3845488144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 458 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 49.

The cubic root of 3845488144 is about 1566.6927206974.

Multiplying 3845488144 by its sum of digits (49), we get a square (188428919056 = 434084²).

The spelling of 3845488144 in words is "three billion, eight hundred forty-five million, four hundred eighty-eight thousand, one hundred forty-four".