3916416401 has 16 divisors (see below), whose sum is σ = 4196966400. Its totient is φ = 3643447248.

The previous prime is 3916416377. The next prime is 3916416421. The reversal of 3916416401 is 1046146193.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3916416401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3916416421) 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, 1773440 + ... + 1775646.

It is an arithmetic number, because the mean of its divisors is an integer number (262310400).

Almost surely, 2^3916416401 is an apocalyptic number.

It is an amenable number.

3916416401 is a deficient number, since it is larger than the sum of its proper divisors (280549999).

3916416401 is a wasteful number, since it uses less digits than its factorization.

3916416401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 3916416401 is about 62581.2783586274. The cubic root of 3916416401 is about 1576.2664074674.

The spelling of 3916416401 in words is "three billion, nine hundred sixteen million, four hundred sixteen thousand, four hundred one".