3914064038976 has 224 divisors, whose sum is σ = 12749317582848. Its totient is φ = 1031995607040.

The previous prime is 3914064038957. The next prime is 3914064039037. The reversal of 3914064038976 is 6798304604193.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 67465341 + ... + 67523331.

It is an arithmetic number, because the mean of its divisors is an integer number (56916596352).

Almost surely, 2^{3914064038976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3914064038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374658791424).

3914064038976 is an abundant number, since it is smaller than the sum of its proper divisors (8835253543872).

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

3914064038976 is a wasteful number, since it uses less digits than its factorization.

3914064038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61889 (or 61879 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 3914064038976 in words is "three trillion, nine hundred fourteen billion, sixty-four million, thirty-eight thousand, nine hundred seventy-six".