38279600352 has 768 divisors, whose sum is σ = 140790988800. Its totient is φ = 9876142080.

The previous prime is 38279600339. The next prime is 38279600353. The reversal of 38279600352 is 25300697283.

38279600352 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 9 + 600 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38279600298 and 38279600307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38279600353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301414113 + ... + 301414239.

It is an arithmetic number, because the mean of its divisors is an integer number (183321600).

Almost surely, 2^38279600352 is an apocalyptic number.

38279600352 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 38279600352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70395494400).

38279600352 is an abundant number, since it is smaller than the sum of its proper divisors (102511388448).

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

38279600352 is a wasteful number, since it uses less digits than its factorization.

38279600352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38279600352 in words is "thirty-eight billion, two hundred seventy-nine million, six hundred thousand, three hundred fifty-two".