38625684829200 has 1920 divisors, whose sum is σ = 172078311997440. Its totient is φ = 8024931532800.

The previous prime is 38625684829117. The next prime is 38625684829201. The reversal of 38625684829200 is 292848652683.

38625684829200 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 5 + 68 + 482 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38625684829201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35339143854 + ... + 35339144946.

It is an arithmetic number, because the mean of its divisors is an integer number (89624120832).

Almost surely, 2^{38625684829200} is an apocalyptic number.

38625684829200 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 38625684829200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86039155998720).

38625684829200 is an abundant number, since it is smaller than the sum of its proper divisors (133452627168240).

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

38625684829200 is a wasteful number, since it uses less digits than its factorization.

38625684829200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 38625684829200 in words is "thirty-eight trillion, six hundred twenty-five billion, six hundred eighty-four million, eight hundred twenty-nine thousand, two hundred".