38553084730368 has 528 divisors, whose sum is σ = 124294743955200. Its totient is φ = 11429444321280.

The previous prime is 38553084730361. The next prime is 38553084730423. The reversal of 38553084730368 is 86303748035583.

It is a happy number.

38553084730368 is a `hidden beast` number, since 3 + 8 + 5 + 530 + 8 + 4 + 7 + 30 + 3 + 68 = 666.

It is a super-2 number, since 2×38553084730368² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38553084730361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850494328 + ... + 850539656.

Almost surely, 2^{38553084730368} 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 38553084730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62147371977600).

38553084730368 is an abundant number, since it is smaller than the sum of its proper divisors (85741659224832).

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

38553084730368 is a wasteful number, since it uses less digits than its factorization.

38553084730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45628 (or 45607 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 38553084730368 in words is "thirty-eight trillion, five hundred fifty-three billion, eighty-four million, seven hundred thirty thousand, three hundred sixty-eight".