1038725856 has 168 divisors, whose sum is σ = 3504647664. Its totient is φ = 296732160.

The previous prime is 1038725797. The next prime is 1038725867. The reversal of 1038725856 is 6585278301.

1038725856 is a `hidden beast` number, since 10 + 387 + 258 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 160116 + ... + 166476.

It is an arithmetic number, because the mean of its divisors is an integer number (20860998).

Almost surely, 2^1038725856 is an apocalyptic number.

1038725856 is a gapful number since it is divisible by the number (16) 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 1038725856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752323832).

1038725856 is an abundant number, since it is smaller than the sum of its proper divisors (2465921808).

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

1038725856 is an frugal number, since it uses more digits than its factorization.

1038725856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1038725856 is about 32229.2701747961. The cubic root of 1038725856 is about 1012.7454812189.

The spelling of 1038725856 in words is "one billion, thirty-eight million, seven hundred twenty-five thousand, eight hundred fifty-six".