38314905552 has 480 divisors, whose sum is σ = 141039584000. Its totient is φ = 9947266560.

The previous prime is 38314905527. The next prime is 38314905553. The reversal of 38314905552 is 25550941383.

38314905552 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 4 + 90 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38314905498 and 38314905507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314905553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17928228 + ... + 17930364.

Almost surely, 2^38314905552 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 38314905552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70519792000).

38314905552 is an abundant number, since it is smaller than the sum of its proper divisors (102724678448).

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

38314905552 is a wasteful number, since it uses less digits than its factorization.

38314905552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 38314905552 in words is "thirty-eight billion, three hundred fourteen million, nine hundred five thousand, five hundred fifty-two".