3841348492800 has 1440 divisors, whose sum is σ = 17664267852000. Its totient is φ = 810435870720.

The previous prime is 3841348492777. The next prime is 3841348492819. The reversal of 3841348492800 is 82948431483.

3841348492800 is a `hidden beast` number, since 3 + 8 + 41 + 34 + 8 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×3841348492800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220138476 + ... + 220155924.

It is an arithmetic number, because the mean of its divisors is an integer number (12266852675).

Almost surely, 2^{3841348492800} is an apocalyptic number.

3841348492800 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 3841348492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832133926000).

3841348492800 is an abundant number, since it is smaller than the sum of its proper divisors (13822919359200).

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

3841348492800 is a wasteful number, since it uses less digits than its factorization.

3841348492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17513 (or 17479 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 3841348492800 in words is "three trillion, eight hundred forty-one billion, three hundred forty-eight million, four hundred ninety-two thousand, eight hundred".