38667342988800 has 2400 divisors, whose sum is σ = 162322173573120. Its totient is φ = 9039170764800.

The previous prime is 38667342988727. The next prime is 38667342988817. The reversal of 38667342988800 is 888924376683.

It is a happy number.

38667342988800 is a `hidden beast` number, since 386 + 6 + 73 + 4 + 29 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 14045528224 + ... + 14045530976.

Almost surely, 2^{38667342988800} is an apocalyptic number.

38667342988800 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 38667342988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81161086786560).

38667342988800 is an abundant number, since it is smaller than the sum of its proper divisors (123654830584320).

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

38667342988800 is a wasteful number, since it uses less digits than its factorization.

38667342988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 38667342988800 in words is "thirty-eight trillion, six hundred sixty-seven billion, three hundred forty-two million, nine hundred eighty-eight thousand, eight hundred".