738341130800 has 480 divisors, whose sum is σ = 2214560259072. Its totient is φ = 230342307840.

The previous prime is 738341130773. The next prime is 738341130803. The reversal of 738341130800 is 8031143837.

It is not an unprimeable number, because it can be changed into a prime (738341130803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1141176077 + ... + 1141176723.

Almost surely, 2^738341130800 is an apocalyptic number.

738341130800 is a gapful number since it is divisible by the number (70) 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 738341130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107280129536).

738341130800 is an abundant number, since it is smaller than the sum of its proper divisors (1476219128272).

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

738341130800 is a wasteful number, since it uses less digits than its factorization.

738341130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 738341130800 in words is "seven hundred thirty-eight billion, three hundred forty-one million, one hundred thirty thousand, eight hundred".