3417264401 has 8 divisors (see below), whose sum is σ = 3654106344. Its totient is φ = 3184403200.

The previous prime is 3417264379. The next prime is 3417264407. The reversal of 3417264401 is 1044627143.

3417264401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2754150400 + 663114001 = 52480^2 + 25751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3417264401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3417264407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993410 + ... + 996843.

It is an arithmetic number, because the mean of its divisors is an integer number (456763293).

Almost surely, 2^3417264401 is an apocalyptic number.

It is an amenable number.

3417264401 is a deficient number, since it is larger than the sum of its proper divisors (236841943).

3417264401 is a wasteful number, since it uses less digits than its factorization.

3417264401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990371.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 3417264401 is about 58457.3725119424. The cubic root of 3417264401 is about 1506.2354363794.

The spelling of 3417264401 in words is "three billion, four hundred seventeen million, two hundred sixty-four thousand, four hundred one".