3845235295440 has 1920 divisors, whose sum is σ = 17552887971840. Its totient is φ = 730637107200.

The previous prime is 3845235295439. The next prime is 3845235295459. The reversal of 3845235295440 is 445925325483.

3845235295440 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 23 + 529 + 54 + 40 = 666.

3845235295440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3518055534 + ... + 3518056626.

It is an arithmetic number, because the mean of its divisors is an integer number (9142129152).

Almost surely, 2^{3845235295440} is an apocalyptic number.

3845235295440 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 3845235295440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776443985920).

3845235295440 is an abundant number, since it is smaller than the sum of its proper divisors (13707652676400).

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

3845235295440 is a wasteful number, since it uses less digits than its factorization.

3845235295440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 3845235295440 in words is "three trillion, eight hundred forty-five billion, two hundred thirty-five million, two hundred ninety-five thousand, four hundred forty".