3958030670400 has 567 divisors, whose sum is σ = 14361361115803. Its totient is φ = 1033892966400.

The previous prime is 3958030670387. The next prime is 3958030670417. The reversal of 3958030670400 is 40760308593.

The square root of 3958030670400 is 1989480.

It is a perfect power (a square), and thus also a powerful number.

3958030670400 is a `hidden beast` number, since 3 + 9 + 580 + 3 + 0 + 67 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5632202304 + 3952398468096 = 75048^2 + 1988064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14085518260 + ... + 14085518540.

Almost surely, 2^{3958030670400} is an apocalyptic number.

3958030670400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3958030670400 is the 1989480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3958030670400

3958030670400 is an abundant number, since it is smaller than the sum of its proper divisors (10403330445403).

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

3958030670400 is an equidigital number, since it uses as much as digits as its factorization.

3958030670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 3958030670400 its reverse (40760308593), we get a palindrome (3998790978993).

The spelling of 3958030670400 in words is "three trillion, nine hundred fifty-eight billion, thirty million, six hundred seventy thousand, four hundred".