3857217148800 has 1728 divisors, whose sum is σ = 15425439204240. Its totient is φ = 949542912000.

The previous prime is 3857217148789. The next prime is 3857217148823. The reversal of 3857217148800 is 88417127583.

3857217148800 is a `hidden beast` number, since 3 + 85 + 72 + 17 + 1 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 215 ways as a sum of consecutive naturals, for example, 36048758347 + ... + 36048758453.

Almost surely, 2^{3857217148800} is an apocalyptic number.

3857217148800 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 3857217148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712719602120).

3857217148800 is an abundant number, since it is smaller than the sum of its proper divisors (11568222055440).

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

3857217148800 is a wasteful number, since it uses less digits than its factorization.

3857217148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 3857217148800 in words is "three trillion, eight hundred fifty-seven billion, two hundred seventeen million, one hundred forty-eight thousand, eight hundred".