3811285286400 has 240 divisors, whose sum is σ = 12607753302144. Its totient is φ = 1014937313280.

The previous prime is 3811285286383. The next prime is 3811285286449. The reversal of 3811285286400 is 46825821183.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3811285286400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27848539 + ... + 27985061.

Almost surely, 2^{3811285286400} is an apocalyptic number.

3811285286400 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 3811285286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303876651072).

3811285286400 is an abundant number, since it is smaller than the sum of its proper divisors (8796468015744).

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

3811285286400 is a wasteful number, since it uses less digits than its factorization.

3811285286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137281 (or 137260 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 3811285286400 in words is "three trillion, eight hundred eleven billion, two hundred eighty-five million, two hundred eighty-six thousand, four hundred".