38907565290672 has 320 divisors, whose sum is σ = 118611688366080. Its totient is φ = 10875820032000.

The previous prime is 38907565290647. The next prime is 38907565290701. The reversal of 38907565290672 is 27609256570983.

It is a super-3 number, since 3×38907565290672³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38907565290597 and 38907565290606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127769797 + ... + 128073947.

It is an arithmetic number, because the mean of its divisors is an integer number (370661526144).

Almost surely, 2^{38907565290672} 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 38907565290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59305844183040).

38907565290672 is an abundant number, since it is smaller than the sum of its proper divisors (79704123075408).

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

38907565290672 is a wasteful number, since it uses less digits than its factorization.

38907565290672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304612 (or 304606 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 69.

The spelling of 38907565290672 in words is "thirty-eight trillion, nine hundred seven billion, five hundred sixty-five million, two hundred ninety thousand, six hundred seventy-two".