1038643984 has 45 divisors (see below), whose sum is σ = 2342958951. Its totient is φ = 444746400.

The previous prime is 1038643979. The next prime is 1038643997. The reversal of 1038643984 is 4893468301.

The square root of 1038643984 is 32228.

It is a perfect power (a square), and thus also a powerful number.

1038643984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 901809 + ... + 902959.

Almost surely, 2^1038643984 is an apocalyptic number.

1038643984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1038643984 is the 32228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038643984

1038643984 is an abundant number, since it is smaller than the sum of its proper divisors (1304314967).

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

1038643984 is an frugal number, since it uses more digits than its factorization.

1038643984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The cubic root of 1038643984 is about 1012.7188724410.

The spelling of 1038643984 in words is "one billion, thirty-eight million, six hundred forty-three thousand, nine hundred eighty-four".