3848457600 has 576 divisors, whose sum is σ = 15595616400. Its totient is φ = 895795200.

The previous prime is 3848457593. The next prime is 3848457601. The reversal of 3848457600 is 67548483.

3848457600 is a `hidden beast` number, since 38 + 4 + 8 + 4 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3848457601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7113330 + ... + 7113870.

Almost surely, 2^3848457600 is an apocalyptic number.

3848457600 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 3848457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797808200).

3848457600 is an abundant number, since it is smaller than the sum of its proper divisors (11747158800).

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

3848457600 is a wasteful number, since it uses less digits than its factorization.

3848457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3848457600 is about 62035.9379714694. The cubic root of 3848457600 is about 1567.0958795829.

The spelling of 3848457600 in words is "three billion, eight hundred forty-eight million, four hundred fifty-seven thousand, six hundred".