38855230167680 has 64 divisors (see below), whose sum is σ = 92889386983080. Its totient is φ = 15541907619840.

The previous prime is 38855230167659. The next prime is 38855230167727. The reversal of 38855230167680 is 8676103255883.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21456387466816 + 17398842700864 = 4632104^2 + 4171192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×38855230167680³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 62050712 + ... + 62673768.

Almost surely, 2^{38855230167680} is an apocalyptic number.

It is an amenable number.

38855230167680 is an abundant number, since it is smaller than the sum of its proper divisors (54034156815400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38855230167680 is an equidigital number, since it uses as much as digits as its factorization.

38855230167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720517 (or 720505 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 62.

The spelling of 38855230167680 in words is "thirty-eight trillion, eight hundred fifty-five billion, two hundred thirty million, one hundred sixty-seven thousand, six hundred eighty".