38400398400 has 1008 divisors, whose sum is σ = 166385808960. Its totient is φ = 7664025600.

The previous prime is 38400398389. The next prime is 38400398429. The reversal of 38400398400 is 489300483.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58094070 + ... + 58094730.

Almost surely, 2^38400398400 is an apocalyptic number.

38400398400 is a gapful number since it is divisible by the number (30) 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 38400398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83192904480).

38400398400 is an abundant number, since it is smaller than the sum of its proper divisors (127985410560).

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

38400398400 is a wasteful number, since it uses less digits than its factorization.

38400398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

Adding to 38400398400 its reverse (489300483), we get a palindrome (38889698883).

The spelling of 38400398400 in words is "thirty-eight billion, four hundred million, three hundred ninety-eight thousand, four hundred".