3917826401 has 4 divisors (see below), whose sum is σ = 3946423812. Its totient is φ = 3889228992.

The previous prime is 3917826397. The next prime is 3917826431. The reversal of 3917826401 is 1046287193.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1503578176 + 2414248225 = 38776^2 + 49135^2 .

It is a cyclic number.

It is not a de Polignac number, because 3917826401 - 2² = 3917826397 is a prime.

It is a super-2 number, since 2×3917826401² = 30698727416745225602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3917826431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14298500 + ... + 14298773.

It is an arithmetic number, because the mean of its divisors is an integer number (986605953).

Almost surely, 2^3917826401 is an apocalyptic number.

It is an amenable number.

3917826401 is a deficient number, since it is larger than the sum of its proper divisors (28597411).

3917826401 is a wasteful number, since it uses less digits than its factorization.

3917826401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28597410.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 3917826401 is about 62592.5426947971. The cubic root of 3917826401 is about 1576.4555488268.

The spelling of 3917826401 in words is "three billion, nine hundred seventeen million, eight hundred twenty-six thousand, four hundred one".