38690742272 has 448 divisors, whose sum is σ = 104633109504. Its totient is φ = 13872660480.

The previous prime is 38690742253. The next prime is 38690742367. The reversal of 38690742272 is 27224709683.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 38690742272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544939997 + ... + 544940067.

It is an arithmetic number, because the mean of its divisors is an integer number (233556048).

Almost surely, 2^38690742272 is an apocalyptic number.

38690742272 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 38690742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52316554752).

38690742272 is an abundant number, since it is smaller than the sum of its proper divisors (65942367232).

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

38690742272 is a wasteful number, since it uses less digits than its factorization.

38690742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 38690742272 in words is "thirty-eight billion, six hundred ninety million, seven hundred forty-two thousand, two hundred seventy-two".