38436267690601 has 27 divisors (see below), whose sum is σ = 42429177977277. Its totient is φ = 34792958775960.

The previous prime is 38436267690539. The next prime is 38436267690649. The reversal of 38436267690601 is 10609676263483.

The square root of 38436267690601 is 6199699.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 38436267690601 - 2¹³ = 38436267682409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38436267690601.

It is not an unprimeable number, because it can be changed into a prime (38436267690001) 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 26 ways as a sum of consecutive naturals, for example, 17935728136 + ... + 17935730278.

Almost surely, 2^{38436267690601} is an apocalyptic number.

38436267690601 is the 6199699-th square number.

38436267690601 is the 3099850-th centered octagonal number.

It is an amenable number.

38436267690601 is a deficient number, since it is larger than the sum of its proper divisors (3992910286676).

38436267690601 is an frugal number, since it uses more digits than its factorization.

38436267690601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 61.

The spelling of 38436267690601 in words is "thirty-eight trillion, four hundred thirty-six billion, two hundred sixty-seven million, six hundred ninety thousand, six hundred one".