1038360960 has 576 divisors, whose sum is σ = 4507710480. Its totient is φ = 218308608.

The previous prime is 1038360943. The next prime is 1038360977. The reversal of 1038360960 is 690638301.

It is a happy number.

1038360960 is a `hidden beast` number, since 10 + 38 + 3 + 609 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1038360943) and next prime (1038360977).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668979 + ... + 3669261.

Almost surely, 2^1038360960 is an apocalyptic number.

1038360960 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 1038360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253855240).

1038360960 is an abundant number, since it is smaller than the sum of its proper divisors (3469349520).

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

1038360960 is a wasteful number, since it uses less digits than its factorization.

1038360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1038360960 is about 32223.6087364528. The cubic root of 1038360960 is about 1012.6268775615.

The spelling of 1038360960 in words is "one billion, thirty-eight million, three hundred sixty thousand, nine hundred sixty".