38676153835200 has 336 divisors, whose sum is σ = 145213487210240. Its totient is φ = 8828295598080.

The previous prime is 38676153835177. The next prime is 38676153835211. The reversal of 38676153835200 is 253835167683.

It is a happy number.

38676153835200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 24051594 + ... + 25609206.

Almost surely, 2^{38676153835200} is an apocalyptic number.

38676153835200 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 38676153835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72606743605120).

38676153835200 is an abundant number, since it is smaller than the sum of its proper divisors (106537333375040).

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

38676153835200 is a wasteful number, since it uses less digits than its factorization.

38676153835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558384 (or 1558369 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 38676153835200 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred fifty-three million, eight hundred thirty-five thousand, two hundred".