3958770816 has 384 divisors, whose sum is σ = 15299706240. Its totient is φ = 948879360.

The previous prime is 3958770811. The next prime is 3958770839. The reversal of 3958770816 is 6180778593.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3958770816² = 31343732747226611712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3958770811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151436 + ... + 1154868.

It is an arithmetic number, because the mean of its divisors is an integer number (39842985).

Almost surely, 2^3958770816 is an apocalyptic number.

3958770816 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 3958770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649853120).

3958770816 is an abundant number, since it is smaller than the sum of its proper divisors (11340935424).

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

3958770816 is a wasteful number, since it uses less digits than its factorization.

3958770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 3958770816 is about 62918.7636242163. The cubic root of 3958770816 is about 1581.9282679699.

The spelling of 3958770816 in words is "three billion, nine hundred fifty-eight million, seven hundred seventy thousand, eight hundred sixteen".