3114574848 has 792 divisors, whose sum is σ = 12414645600. Its totient is φ = 766402560.

The previous prime is 3114574819. The next prime is 3114574861. The reversal of 3114574848 is 8484754113.

3114574848 is a `hidden beast` number, since 3 + 114 + 57 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

Its product of digits (430080) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163924983 + ... + 163925001.

Almost surely, 2^3114574848 is an apocalyptic number.

3114574848 is a gapful number since it is divisible by the number (38) 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 3114574848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207322800).

3114574848 is an abundant number, since it is smaller than the sum of its proper divisors (9300070752).

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

3114574848 is a wasteful number, since it uses less digits than its factorization.

3114574848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 3114574848 is about 55808.3761455214. The cubic root of 3114574848 is about 1460.3812802908.

The spelling of 3114574848 in words is "three billion, one hundred fourteen million, five hundred seventy-four thousand, eight hundred forty-eight".