38655203067900 has 576 divisors, whose sum is σ = 126507725209600. Its totient is φ = 10124456509440.

The previous prime is 38655203067889. The next prime is 38655203067941. The reversal of 38655203067900 is 976030255683.

It is a happy number.

38655203067900 is a `hidden beast` number, since 3 + 86 + 5 + 520 + 30 + 6 + 7 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20638121364 + ... + 20638123236.

Almost surely, 2^{38655203067900} is an apocalyptic number.

38655203067900 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 38655203067900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63253862604800).

38655203067900 is an abundant number, since it is smaller than the sum of its proper divisors (87852522141700).

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

38655203067900 is a wasteful number, since it uses less digits than its factorization.

38655203067900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 38655203067900 in words is "thirty-eight trillion, six hundred fifty-five billion, two hundred three million, sixty-seven thousand, nine hundred".