3841801017600 has 1944 divisors, whose sum is σ = 16238216750112. Its totient is φ = 797058662400.

The previous prime is 3841801017599. The next prime is 3841801017631. The reversal of 3841801017600 is 67101081483.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11606649435 + ... + 11606649765.

Almost surely, 2^{3841801017600} is an apocalyptic number.

3841801017600 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 3841801017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119108375056).

3841801017600 is an abundant number, since it is smaller than the sum of its proper divisors (12396415732512).

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

3841801017600 is a wasteful number, since it uses less digits than its factorization.

3841801017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 3841801017600 in words is "three trillion, eight hundred forty-one billion, eight hundred one million, seventeen thousand, six hundred".