38667298687920 has 480 divisors, whose sum is σ = 149467917441024. Its totient is φ = 8775302400000.

The previous prime is 38667298687861. The next prime is 38667298687933. The reversal of 38667298687920 is 2978689276683.

38667298687920 is a `hidden beast` number, since 386 + 6 + 7 + 2 + 98 + 68 + 7 + 92 + 0 = 666.

38667298687920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38667298687920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654782395 + ... + 654841445.

Almost surely, 2^{38667298687920} is an apocalyptic number.

38667298687920 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 38667298687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74733958720512).

38667298687920 is an abundant number, since it is smaller than the sum of its proper divisors (110800618753104).

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

38667298687920 is a wasteful number, since it uses less digits than its factorization.

38667298687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60001 (or 59992 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 38667298687920 in words is "thirty-eight trillion, six hundred sixty-seven billion, two hundred ninety-eight million, six hundred eighty-seven thousand, nine hundred twenty".