3848534458800 has 240 divisors, whose sum is σ = 13071721272960. Its totient is φ = 965163755520.

The previous prime is 3848534458697. The next prime is 3848534458829. The reversal of 3848534458800 is 88544358483.

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

It is a super-2 number, since 2×3848534458800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507559 + ... + 3739641.

It is an arithmetic number, because the mean of its divisors is an integer number (54465505304).

Almost surely, 2^{3848534458800} is an apocalyptic number.

3848534458800 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 3848534458800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535860636480).

3848534458800 is an abundant number, since it is smaller than the sum of its proper divisors (9223186814160).

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

3848534458800 is a wasteful number, since it uses less digits than its factorization.

3848534458800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232260 (or 1232249 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 60.

The spelling of 3848534458800 in words is "three trillion, eight hundred forty-eight billion, five hundred thirty-four million, four hundred fifty-eight thousand, eight hundred".