1038704352 has 288 divisors, whose sum is σ = 3474938880. Its totient is φ = 269660160.

The previous prime is 1038704347. The next prime is 1038704353. The reversal of 1038704352 is 2534078301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038704353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478799 + ... + 2479217.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2^1038704352 is an apocalyptic number.

1038704352 is a gapful number since it is divisible by the number (12) 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 1038704352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

1038704352 is an abundant number, since it is smaller than the sum of its proper divisors (2436234528).

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

1038704352 is a wasteful number, since it uses less digits than its factorization.

1038704352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1038704352 is about 32228.9365632811. The cubic root of 1038704352 is about 1012.7384924550.

The spelling of 1038704352 in words is "one billion, thirty-eight million, seven hundred four thousand, three hundred fifty-two".