38554978752 has 784 divisors, whose sum is σ = 132192491520. Its totient is φ = 11085465600.

The previous prime is 38554978669. The next prime is 38554978757. The reversal of 38554978752 is 25787945583.

38554978752 is a `hidden beast` number, since 3 + 8 + 5 + 549 + 7 + 87 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38554978752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38554978757) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 632048802 + ... + 632048862.

Almost surely, 2^38554978752 is an apocalyptic number.

38554978752 is a gapful number since it is divisible by the number (32) 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 38554978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096245760).

38554978752 is an abundant number, since it is smaller than the sum of its proper divisors (93637512768).

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

38554978752 is a wasteful number, since it uses less digits than its factorization.

38554978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 38554978752 in words is "thirty-eight billion, five hundred fifty-four million, nine hundred seventy-eight thousand, seven hundred fifty-two".