1038070368 has 72 divisors (see below), whose sum is σ = 2985255000. Its totient is φ = 342127104.

The previous prime is 1038070361. The next prime is 1038070387. The reversal of 1038070368 is 8630708301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038070361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5383 + ... + 45881.

It is an arithmetic number, because the mean of its divisors is an integer number (41461875).

Almost surely, 2^1038070368 is an apocalyptic number.

1038070368 is a gapful number since it is divisible by the number (18) 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 1038070368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492627500).

1038070368 is an abundant number, since it is smaller than the sum of its proper divisors (1947184632).

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

1038070368 is a wasteful number, since it uses less digits than its factorization.

1038070368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40604 (or 40593 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1038070368 is about 32219.0994287550. The cubic root of 1038070368 is about 1012.5324053643.

Adding to 1038070368 its reverse (8630708301), we get a palindrome (9668778669).

The spelling of 1038070368 in words is "one billion, thirty-eight million, seventy thousand, three hundred sixty-eight".