3948730401 has 16 divisors (see below), whose sum is σ = 6564123648. Its totient is φ = 2051288400.

The previous prime is 3948730361. The next prime is 3948730433. The reversal of 3948730401 is 1040378493.

3948730401 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 not a de Polignac number, because 3948730401 - 2⁶ = 3948730337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3948730401.

It is not an unprimeable number, because it can be changed into a prime (3948730481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8546805 + ... + 8547266.

It is an arithmetic number, because the mean of its divisors is an integer number (410257728).

Almost surely, 2^3948730401 is an apocalyptic number.

It is an amenable number.

3948730401 is a deficient number, since it is larger than the sum of its proper divisors (2615393247).

3948730401 is a wasteful number, since it uses less digits than its factorization.

3948730401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17094092.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3948730401 is about 62838.9242508177. The cubic root of 3948730401 is about 1580.5897495329.

The spelling of 3948730401 in words is "three billion, nine hundred forty-eight million, seven hundred thirty thousand, four hundred one".