1038420000 has 300 divisors, whose sum is σ = 3822187446. Its totient is φ = 276480000.

The previous prime is 1038419971. The next prime is 1038420007. The reversal of 1038420000 is 248301.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 117418896 + 921001104 = 10836^2 + 30348^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038420007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1619680 + ... + 1620320.

Almost surely, 2^1038420000 is an apocalyptic number.

1038420000 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 1038420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911093723).

1038420000 is an abundant number, since it is smaller than the sum of its proper divisors (2783767446).

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

1038420000 is an frugal number, since it uses more digits than its factorization.

1038420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 651 counting only the distinct ones).

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

The square root of 1038420000 is about 32224.5248219427. The cubic root of 1038420000 is about 1012.6460694611.

Adding to 1038420000 its reverse (248301), we get a palindrome (1038668301).

The spelling of 1038420000 in words is "one billion, thirty-eight million, four hundred twenty thousand".