1038390080 has 224 divisors, whose sum is σ = 3075797760. Its totient is φ = 327075840.

The previous prime is 1038390077. The next prime is 1038390083. The reversal of 1038390080 is 800938301.

It is an interprime number because it is at equal distance from previous prime (1038390077) and next prime (1038390083).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038390083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4921175 + ... + 4921385.

It is an arithmetic number, because the mean of its divisors is an integer number (13731240).

Almost surely, 2^1038390080 is an apocalyptic number.

1038390080 is a gapful number since it is divisible by the number (10) 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 1038390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537898880).

1038390080 is an abundant number, since it is smaller than the sum of its proper divisors (2037407680).

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

1038390080 is an equidigital number, since it uses as much as digits as its factorization.

1038390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1038390080 is about 32224.0605759113. The cubic root of 1038390080 is about 1012.6363435758.

The spelling of 1038390080 in words is "one billion, thirty-eight million, three hundred ninety thousand, eighty".