1038380616 has 288 divisors, whose sum is σ = 3549087360. Its totient is φ = 268489728.

The previous prime is 1038380597. The next prime is 1038380639. The reversal of 1038380616 is 6160838301.

1038380616 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 38 + 0 + 616 = 666.

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, 6217765 + ... + 6217931.

It is an arithmetic number, because the mean of its divisors is an integer number (12323220).

Almost surely, 2^1038380616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038380616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774543680).

1038380616 is an abundant number, since it is smaller than the sum of its proper divisors (2510706744).

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

1038380616 is a wasteful number, since it uses less digits than its factorization.

1038380616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1038380616 is about 32223.9137287822. The cubic root of 1038380616 is about 1012.6332671406.

The spelling of 1038380616 in words is "one billion, thirty-eight million, three hundred eighty thousand, six hundred sixteen".