3768800448 has 336 divisors, whose sum is σ = 12536367104. Its totient is φ = 977633280.

The previous prime is 3768800443. The next prime is 3768800467. The reversal of 3768800448 is 8440088673.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3768800397 and 3768800406.

It is not an unprimeable number, because it can be changed into a prime (3768800443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12040740 + ... + 12041052.

Almost surely, 2^3768800448 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 3768800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268183552).

3768800448 is an abundant number, since it is smaller than the sum of its proper divisors (8767566656).

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

3768800448 is a wasteful number, since it uses less digits than its factorization.

3768800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 3768800448 is about 61390.5566679436. The cubic root of 3768800448 is about 1556.2082534180.

The spelling of 3768800448 in words is "three billion, seven hundred sixty-eight million, eight hundred thousand, four hundred forty-eight".