9038704896 has 144 divisors (see below), whose sum is σ = 28785406720. Its totient is φ = 2781112320.

The previous prime is 9038704889. The next prime is 9038704919. The reversal of 9038704896 is 6984078309.

9038704896 is a `hidden beast` number, since 90 + 3 + 8 + 70 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39561 + ... + 140151.

Almost surely, 2^9038704896 is an apocalyptic number.

9038704896 is a gapful number since it is divisible by the number (96) 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 9038704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392703360).

9038704896 is an abundant number, since it is smaller than the sum of its proper divisors (19746701824).

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

9038704896 is a wasteful number, since it uses less digits than its factorization.

9038704896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100629 (or 100609 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9038704896 is about 95072.1036687419. The cubic root of 9038704896 is about 2083.0613894056.

The spelling of 9038704896 in words is "nine billion, thirty-eight million, seven hundred four thousand, eight hundred ninety-six".