3848674800 has 240 divisors, whose sum is σ = 12805624832. Its totient is φ = 987033600.

The previous prime is 3848674771. The next prime is 3848674861. The reversal of 3848674800 is 84768483.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3848674800.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11420232 + ... + 11420568.

Almost surely, 2^3848674800 is an apocalyptic number.

3848674800 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 3848674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402812416).

3848674800 is an abundant number, since it is smaller than the sum of its proper divisors (8956950032).

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

3848674800 is a wasteful number, since it uses less digits than its factorization.

3848674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

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

The square root of 3848674800 is about 62037.6885449482. The cubic root of 3848674800 is about 1567.1253603825.

The spelling of 3848674800 in words is "three billion, eight hundred forty-eight million, six hundred seventy-four thousand, eight hundred".