38855758233600 has 2880 divisors, whose sum is σ = 180113352007680. Its totient is φ = 7977487564800.

The previous prime is 38855758233599. The next prime is 38855758233601. The reversal of 38855758233600 is 633285755883.

It is a happy number.

38855758233600 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 575 + 8 + 23 + 36 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38855758233599) and next prime (38855758233601).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×38855758233600³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38855758233601) 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 191 ways as a sum of consecutive naturals, for example, 87710514979 + ... + 87710515421.

It is an arithmetic number, because the mean of its divisors is an integer number (62539358336).

Almost surely, 2^{38855758233600} is an apocalyptic number.

38855758233600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38855758233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90056676003840).

38855758233600 is an abundant number, since it is smaller than the sum of its proper divisors (141257593774080).

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

38855758233600 is a wasteful number, since it uses less digits than its factorization.

38855758233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 38855758233600 in words is "thirty-eight trillion, eight hundred fifty-five billion, seven hundred fifty-eight million, two hundred thirty-three thousand, six hundred".