1038668400 has 480 divisors, whose sum is σ = 4612800000. Its totient is φ = 215654400.

The previous prime is 1038668387. The next prime is 1038668417. The reversal of 1038668400 is 48668301.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 830976 + ... + 832224.

It is an arithmetic number, because the mean of its divisors is an integer number (9610000).

Almost surely, 2^1038668400 is an apocalyptic number.

1038668400 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 1038668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306400000).

1038668400 is an abundant number, since it is smaller than the sum of its proper divisors (3574131600).

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

1038668400 is a wasteful number, since it uses less digits than its factorization.

1038668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1038668400 is about 32228.3787988164. The cubic root of 1038668400 is about 1012.7268079000.

Subtracting from 1038668400 its reverse (48668301), we obtain a palindrome (990000099).

The spelling of 1038668400 in words is "one billion, thirty-eight million, six hundred sixty-eight thousand, four hundred".