3958793280 has 336 divisors, whose sum is σ = 15011156160. Its totient is φ = 951422976.

The previous prime is 3958793263. The next prime is 3958793287. The reversal of 3958793280 is 823978593.

It is a happy number.

3958793280 is a `hidden beast` number, since 39 + 587 + 9 + 3 + 28 + 0 = 666.

3958793280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958793287) 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, 1608691 + ... + 1611149.

It is an arithmetic number, because the mean of its divisors is an integer number (44676060).

Almost surely, 2^3958793280 is an apocalyptic number.

3958793280 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 3958793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505578080).

3958793280 is an abundant number, since it is smaller than the sum of its proper divisors (11052362880).

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

3958793280 is a wasteful number, since it uses less digits than its factorization.

3958793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 3958793280 is about 62918.9421398675. The cubic root of 3958793280 is about 1581.9312601755.

The spelling of 3958793280 in words is "three billion, nine hundred fifty-eight million, seven hundred ninety-three thousand, two hundred eighty".