3848083200 has 540 divisors, whose sum is σ = 15349422088. Its totient is φ = 945561600.

The previous prime is 3848083163. The next prime is 3848083223. The reversal of 3848083200 is 23808483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 6738915 + ... + 6739485.

Almost surely, 2^3848083200 is an apocalyptic number.

3848083200 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 3848083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674711044).

3848083200 is an abundant number, since it is smaller than the sum of its proper divisors (11501338888).

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

3848083200 is a wasteful number, since it uses less digits than its factorization.

3848083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3848083200 is about 62032.9202923738. The cubic root of 3848083200 is about 1567.0450592469.

The spelling of 3848083200 in words is "three billion, eight hundred forty-eight million, eighty-three thousand, two hundred".