1038355120 has 80 divisors (see below), whose sum is σ = 2670900480. Its totient is φ = 372243200.

The previous prime is 1038355103. The next prime is 1038355127. The reversal of 1038355120 is 215538301.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1038355127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54171 + ... + 70789.

It is an arithmetic number, because the mean of its divisors is an integer number (33386256).

Almost surely, 2^1038355120 is an apocalyptic number.

1038355120 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 1038355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335450240).

1038355120 is an abundant number, since it is smaller than the sum of its proper divisors (1632545360).

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

1038355120 is a wasteful number, since it uses less digits than its factorization.

1038355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16714 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1038355120 is about 32223.5181195350. The cubic root of 1038355120 is about 1012.6249791363.

The spelling of 1038355120 in words is "one billion, thirty-eight million, three hundred fifty-five thousand, one hundred twenty".