1038240000 has 540 divisors, whose sum is σ = 4316568256. Its totient is φ = 235008000.

The previous prime is 1038239989. The next prime is 1038240019. The reversal of 1038240000 is 428301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10079949 + ... + 10080051.

Almost surely, 2^1038240000 is an apocalyptic number.

1038240000 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 1038240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158284128).

1038240000 is an abundant number, since it is smaller than the sum of its proper divisors (3278328256).

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

1038240000 is an equidigital number, since it uses as much as digits as its factorization.

1038240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1038240000 is about 32221.7317970341. The cubic root of 1038240000 is about 1012.5875553000.

Adding to 1038240000 its reverse (428301), we get a palindrome (1038668301).

The spelling of 1038240000 in words is "one billion, thirty-eight million, two hundred forty thousand".