3676400417 has 2 divisors, whose sum is σ = 3676400418. Its totient is φ = 3676400416.

The previous prime is 3676400411. The next prime is 3676400419. The reversal of 3676400417 is 7140046763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3522541201 + 153859216 = 59351^2 + 12404^2 .

It is a cyclic number.

It is not a de Polignac number, because 3676400417 - 2¹⁰ = 3676399393 is a prime.

It is a super-2 number, since 2×3676400417² = 27031840052235547778, which contains 22 as substring.

Together with 3676400419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3676400411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1838200208 + 1838200209.

It is an arithmetic number, because the mean of its divisors is an integer number (1838200209).

Almost surely, 2^3676400417 is an apocalyptic number.

It is an amenable number.

3676400417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3676400417 is an equidigital number, since it uses as much as digits as its factorization.

3676400417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 3676400417 is about 60633.3276094921. The cubic root of 3676400417 is about 1543.3849780600.

The spelling of 3676400417 in words is "three billion, six hundred seventy-six million, four hundred thousand, four hundred seventeen".