38714033309952 has 3888 divisors, whose sum is σ = 157708643882496. Its totient is φ = 8338459852800.

The previous prime is 38714033309947. The next prime is 38714033309993. The reversal of 38714033309952 is 25990333041783.

It is a junction number, because it is equal to n+sod(n) for n = 38714033309892 and 38714033309901.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 530329223388 + ... + 530329223460.

Almost surely, 2^{38714033309952} is an apocalyptic number.

38714033309952 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 38714033309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78854321941248).

38714033309952 is an abundant number, since it is smaller than the sum of its proper divisors (118994610572544).

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

38714033309952 is a wasteful number, since it uses less digits than its factorization.

38714033309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 38714033309952 in words is "thirty-eight trillion, seven hundred fourteen billion, thirty-three million, three hundred nine thousand, nine hundred fifty-two".