3853707217920 has 1848 divisors, whose sum is σ = 16987015580400. Its totient is φ = 833734508544.

The previous prime is 3853707217903. The next prime is 3853707217933. The reversal of 3853707217920 is 297127073583.

3853707217920 is a `hidden beast` number, since 3 + 8 + 537 + 0 + 7 + 2 + 17 + 92 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 3474938326 + ... + 3474939434.

Almost surely, 2^{3853707217920} is an apocalyptic number.

3853707217920 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 3853707217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493507790200).

3853707217920 is an abundant number, since it is smaller than the sum of its proper divisors (13133308362480).

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

3853707217920 is a wasteful number, since it uses less digits than its factorization.

3853707217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 3853707217920 in words is "three trillion, eight hundred fifty-three billion, seven hundred seven million, two hundred seventeen thousand, nine hundred twenty".