38634213600 has 540 divisors, whose sum is σ = 149739259824. Its totient is φ = 9691729920.

The previous prime is 38634213593. The next prime is 38634213671. The reversal of 38634213600 is 631243683.

38634213600 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 42 + 1 + 3 + 600 = 666.

38634213600 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 (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 18726169 + ... + 18728231.

Almost surely, 2^38634213600 is an apocalyptic number.

38634213600 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 38634213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74869629912).

38634213600 is an abundant number, since it is smaller than the sum of its proper divisors (111105046224).

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

38634213600 is a wasteful number, since it uses less digits than its factorization.

38634213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 38634213600 in words is "thirty-eight billion, six hundred thirty-four million, two hundred thirteen thousand, six hundred".