38045491200 has 252 divisors, whose sum is σ = 136285688058. Its totient is φ = 10144972800.

The previous prime is 38045491199. The next prime is 38045491213. The reversal of 38045491200 is 219454083.

38045491200 is a `hidden beast` number, since 3 + 80 + 454 + 9 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21348716544 + 16696774656 = 146112^2 + 129216^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1832880 + ... + 1853520.

Almost surely, 2^38045491200 is an apocalyptic number.

38045491200 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 38045491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68142844029).

38045491200 is an abundant number, since it is smaller than the sum of its proper divisors (98240196858).

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

38045491200 is a wasteful number, since it uses less digits than its factorization.

38045491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20683 (or 20651 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38045491200 in words is "thirty-eight billion, forty-five million, four hundred ninety-one thousand, two hundred".