38794291200 has 1152 divisors, whose sum is σ = 172238976000. Its totient is φ = 8360755200.

The previous prime is 38794291189. The next prime is 38794291201. The reversal of 38794291200 is 219249783.

38794291200 is a `hidden beast` number, since 38 + 79 + 429 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38794291201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183859095 + ... + 183859305.

It is an arithmetic number, because the mean of its divisors is an integer number (149513000).

Almost surely, 2^38794291200 is an apocalyptic number.

38794291200 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 38794291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86119488000).

38794291200 is an abundant number, since it is smaller than the sum of its proper divisors (133444684800).

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

38794291200 is a wasteful number, since it uses less digits than its factorization.

38794291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 38794291200 in words is "thirty-eight billion, seven hundred ninety-four million, two hundred ninety-one thousand, two hundred".