3401000657 has 2 divisors, whose sum is σ = 3401000658. Its totient is φ = 3401000656.

The previous prime is 3401000621. The next prime is 3401000683. The reversal of 3401000657 is 7560001043.

It is an a-pointer prime, because the next prime (3401000683) can be obtained adding 3401000657 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2590402816 + 810597841 = 50896^2 + 28471^2 .

It is a cyclic number.

It is not a de Polignac number, because 3401000657 - 2⁸ = 3401000401 is a prime.

It is not a weakly prime, because it can be changed into another prime (3401000357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700500328 + 1700500329.

It is an arithmetic number, because the mean of its divisors is an integer number (1700500329).

Almost surely, 2^3401000657 is an apocalyptic number.

It is an amenable number.

3401000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3401000657 is an equidigital number, since it uses as much as digits as its factorization.

3401000657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 3401000657 is about 58318.0988801933. The cubic root of 3401000657 is about 1503.8420996298.

The spelling of 3401000657 in words is "three billion, four hundred one million, six hundred fifty-seven", and thus it is an aban number.