3845423281440 has 384 divisors, whose sum is σ = 13150238637312. Its totient is φ = 938940088320.

The previous prime is 3845423281429. The next prime is 3845423281477. The reversal of 3845423281440 is 441823245483.

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 3845423281440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639728035 + ... + 639734045.

It is an arithmetic number, because the mean of its divisors is an integer number (34245413118).

Almost surely, 2^{3845423281440} is an apocalyptic number.

3845423281440 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 3845423281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575119318656).

3845423281440 is an abundant number, since it is smaller than the sum of its proper divisors (9304815355872).

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

3845423281440 is a wasteful number, since it uses less digits than its factorization.

3845423281440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 3845423281440 in words is "three trillion, eight hundred forty-five billion, four hundred twenty-three million, two hundred eighty-one thousand, four hundred forty".