3872448000 has 560 divisors, whose sum is σ = 14652093456. Its totient is φ = 1020211200.

The previous prime is 3872447989. The next prime is 3872448023. The reversal of 3872448000 is 8442783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655959 + ... + 46656041.

Almost surely, 2^3872448000 is an apocalyptic number.

3872448000 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 3872448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326046728).

3872448000 is an abundant number, since it is smaller than the sum of its proper divisors (10779645456).

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

3872448000 is an frugal number, since it uses more digits than its factorization.

3872448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3872448000 is about 62228.9964566359. The cubic root of 3872448000 is about 1570.3454417237.

The spelling of 3872448000 in words is "three billion, eight hundred seventy-two million, four hundred forty-eight thousand".