307638841104 has 675 divisors, whose sum is σ = 1085542824663. Its totient is φ = 83863382400.

The previous prime is 307638841099. The next prime is 307638841117. The reversal of 307638841104 is 401148836703.

The square root of 307638841104 is 554652.

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

307638841104 is a `hidden beast` number, since 3 + 0 + 7 + 638 + 8 + 4 + 1 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 307638841104.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4332941389 + ... + 4332941459.

Almost surely, 2^307638841104 is an apocalyptic number.

307638841104 is the 554652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307638841104

307638841104 is an abundant number, since it is smaller than the sum of its proper divisors (777903983559).

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

307638841104 is an equidigital number, since it uses as much as digits as its factorization.

307638841104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 307638841104 in words is "three hundred seven billion, six hundred thirty-eight million, eight hundred forty-one thousand, one hundred four".