1038988800 has 360 divisors, whose sum is σ = 3858837840. Its totient is φ = 266649600.

The previous prime is 1038988787. The next prime is 1038988807. The reversal of 1038988800 is 88898301.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038988807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340645 + ... + 3340955.

It is an arithmetic number, because the mean of its divisors is an integer number (10718994).

Almost surely, 2^1038988800 is an apocalyptic number.

1038988800 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 1038988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929418920).

1038988800 is an abundant number, since it is smaller than the sum of its proper divisors (2819849040).

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

1038988800 is a wasteful number, since it uses less digits than its factorization.

1038988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1038988800 is about 32233.3491899306. The cubic root of 1038988800 is about 1012.8309297773.

The spelling of 1038988800 in words is "one billion, thirty-eight million, nine hundred eighty-eight thousand, eight hundred".