3848635440 has 720 divisors, whose sum is σ = 15786677088. Its totient is φ = 832094208.

The previous prime is 3848635433. The next prime is 3848635481. The reversal of 3848635440 is 445368483.

3848635440 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 635 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57442287 + ... + 57442353.

Almost surely, 2^3848635440 is an apocalyptic number.

3848635440 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 3848635440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893338544).

3848635440 is an abundant number, since it is smaller than the sum of its proper divisors (11938041648).

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

3848635440 is a wasteful number, since it uses less digits than its factorization.

3848635440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3848635440 is about 62037.3713176179. The cubic root of 3848635440 is about 1567.1200180878.

The spelling of 3848635440 in words is "three billion, eight hundred forty-eight million, six hundred thirty-five thousand, four hundred forty".