3849988582440 has 960 divisors, whose sum is σ = 17684667221760. Its totient is φ = 738454993920.

The previous prime is 3849988582397. The next prime is 3849988582441. The reversal of 3849988582440 is 442858899483.

3849988582440 is a `hidden beast` number, since 3 + 8 + 49 + 98 + 8 + 58 + 2 + 440 = 666.

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 (3849988582441) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 22617889 + ... + 22787471.

It is an arithmetic number, because the mean of its divisors is an integer number (18421528356).

Almost surely, 2^{3849988582440} is an apocalyptic number.

3849988582440 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 3849988582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842333610880).

3849988582440 is an abundant number, since it is smaller than the sum of its proper divisors (13834678639320).

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

3849988582440 is a wasteful number, since it uses less digits than its factorization.

3849988582440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169644 (or 169624 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 3849988582440 in words is "three trillion, eight hundred forty-nine billion, nine hundred eighty-eight million, five hundred eighty-two thousand, four hundred forty".