38945225088 has 1152 divisors, whose sum is σ = 155420778240. Its totient is φ = 9580032000.

The previous prime is 38945225069. The next prime is 38945225119. The reversal of 38945225088 is 88052254983.

It is a happy number.

38945225088 is a `hidden beast` number, since 3 + 89 + 4 + 52 + 2 + 508 + 8 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 385596238 + ... + 385596338.

It is an arithmetic number, because the mean of its divisors is an integer number (134913870).

Almost surely, 2^38945225088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38945225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77710389120).

38945225088 is an abundant number, since it is smaller than the sum of its proper divisors (116475553152).

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

38945225088 is a wasteful number, since it uses less digits than its factorization.

38945225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 38945225088 in words is "thirty-eight billion, nine hundred forty-five million, two hundred twenty-five thousand, eighty-eight".