38949125472 has 288 divisors, whose sum is σ = 115461702720. Its totient is φ = 12448235520.

The previous prime is 38949125461. The next prime is 38949125473. The reversal of 38949125472 is 27452194983.

38949125472 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 91 + 2 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38949125473) 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, 144792154 + ... + 144792422.

It is an arithmetic number, because the mean of its divisors is an integer number (400908690).

Almost surely, 2^38949125472 is an apocalyptic number.

38949125472 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 38949125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57730851360).

38949125472 is an abundant number, since it is smaller than the sum of its proper divisors (76512577248).

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

38949125472 is a wasteful number, since it uses less digits than its factorization.

38949125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 38949125472 in words is "thirty-eight billion, nine hundred forty-nine million, one hundred twenty-five thousand, four hundred seventy-two".