3851345141280 has 1536 divisors, whose sum is σ = 17018936524800. Its totient is φ = 801781493760.

The previous prime is 3851345141219. The next prime is 3851345141291. The reversal of 3851345141280 is 821415431583.

3851345141280 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 3 + 4 + 514 + 128 + 0 = 666.

It is a super-2 number, since 2×3851345141280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2515574115 + ... + 2515575645.

It is an arithmetic number, because the mean of its divisors is an integer number (11080036800).

Almost surely, 2^{3851345141280} is an apocalyptic number.

3851345141280 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 3851345141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509468262400).

3851345141280 is an abundant number, since it is smaller than the sum of its proper divisors (13167591383520).

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

3851345141280 is a wasteful number, since it uses less digits than its factorization.

3851345141280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 3851345141280 in words is "three trillion, eight hundred fifty-one billion, three hundred forty-five million, one hundred forty-one thousand, two hundred eighty".