38954338560 has 864 divisors, whose sum is σ = 151868545920. Its totient is φ = 9523298304.

The previous prime is 38954338513. The next prime is 38954338607. The reversal of 38954338560 is 6583345983.

It is a happy number.

38954338560 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 43 + 38 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (38954338513) and next prime (38954338607).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38954338497 and 38954338506.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 280246971 + ... + 280247109.

It is an arithmetic number, because the mean of its divisors is an integer number (175773780).

Almost surely, 2^38954338560 is an apocalyptic number.

38954338560 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 38954338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75934272960).

38954338560 is an abundant number, since it is smaller than the sum of its proper divisors (112914207360).

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

38954338560 is a wasteful number, since it uses less digits than its factorization.

38954338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 38954338560 in words is "thirty-eight billion, nine hundred fifty-four million, three hundred thirty-eight thousand, five hundred sixty".