3849355875456 has 2048 divisors, whose sum is σ = 15034495795200. Its totient is φ = 942675148800.

The previous prime is 3849355875451. The next prime is 3849355875461. The reversal of 3849355875456 is 6545785539483.

3849355875456 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 35 + 587 + 5 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3849355875451) and next prime (3849355875461).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3849355875451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46377781591 + ... + 46377781673.

It is an arithmetic number, because the mean of its divisors is an integer number (7341062400).

Almost surely, 2^{3849355875456} is an apocalyptic number.

3849355875456 is a gapful number since it is divisible by the number (36) 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 3849355875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517247897600).

3849355875456 is an abundant number, since it is smaller than the sum of its proper divisors (11185139919744).

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

3849355875456 is a wasteful number, since it uses less digits than its factorization.

3849355875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its digits is 2177280000, while the sum is 72.

The spelling of 3849355875456 in words is "three trillion, eight hundred forty-nine billion, three hundred fifty-five million, eight hundred seventy-five thousand, four hundred fifty-six".