3414132401 has 16 divisors (see below), whose sum is σ = 3647726400. Its totient is φ = 3186044928.

The previous prime is 3414132383. The next prime is 3414132419. The reversal of 3414132401 is 1042314143.

It is an interprime number because it is at equal distance from previous prime (3414132383) and next prime (3414132419).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3414132401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3414132431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953410 + ... + 1955156.

It is an arithmetic number, because the mean of its divisors is an integer number (227982900).

Almost surely, 2^3414132401 is an apocalyptic number.

It is an amenable number.

3414132401 is a deficient number, since it is larger than the sum of its proper divisors (233593999).

3414132401 is a wasteful number, since it uses less digits than its factorization.

3414132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3414132401 is about 58430.5776199414. The cubic root of 3414132401 is about 1505.7751294587.

Adding to 3414132401 its reverse (1042314143), we get a palindrome (4456446544).

The spelling of 3414132401 in words is "three billion, four hundred fourteen million, one hundred thirty-two thousand, four hundred one".