38669818824000 has 2688 divisors, whose sum is σ = 178893040435200. Its totient is φ = 8154000691200.

The previous prime is 38669818823921. The next prime is 38669818824011. The reversal of 38669818824000 is 42881896683.

38669818824000 is a `hidden beast` number, since 3 + 8 + 66 + 98 + 1 + 8 + 82 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23253047169 + ... + 23253048831.

It is an arithmetic number, because the mean of its divisors is an integer number (66552470400).

Almost surely, 2^{38669818824000} is an apocalyptic number.

38669818824000 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 38669818824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89446520217600).

38669818824000 is an abundant number, since it is smaller than the sum of its proper divisors (140223221611200).

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

38669818824000 is a wasteful number, since it uses less digits than its factorization.

38669818824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 38669818824000 in words is "thirty-eight trillion, six hundred sixty-nine billion, eight hundred eighteen million, eight hundred twenty-four thousand".