8038034657 has 2 divisors, whose sum is σ = 8038034658. Its totient is φ = 8038034656.

The previous prime is 8038034513. The next prime is 8038034663. The reversal of 8038034657 is 7564308308.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7015570081 + 1022464576 = 83759^2 + 31976^2 .

It is a cyclic number.

It is not a de Polignac number, because 8038034657 - 2¹⁴ = 8038018273 is a prime.

It is a super-2 number, since 2×8038034657² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8038039657) 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 as a sum of consecutive naturals, namely, 4019017328 + 4019017329.

It is an arithmetic number, because the mean of its divisors is an integer number (4019017329).

Almost surely, 2^8038034657 is an apocalyptic number.

It is an amenable number.

8038034657 is a deficient number, since it is larger than the sum of its proper divisors (1).

8038034657 is an equidigital number, since it uses as much as digits as its factorization.

8038034657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 8038034657 is about 89655.0871785868. The cubic root of 8038034657 is about 2003.1645449368.

The spelling of 8038034657 in words is "eight billion, thirty-eight million, thirty-four thousand, six hundred fifty-seven".