738331200000 has 960 divisors, whose sum is σ = 2778545911680. Its totient is φ = 195955200000.

The previous prime is 738331199959. The next prime is 738331200107. The reversal of 738331200000 is 2133837.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3499199895 + ... + 3499200105.

It is an arithmetic number, because the mean of its divisors is an integer number (2894318658).

Almost surely, 2^738331200000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738331200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389272955840).

738331200000 is an abundant number, since it is smaller than the sum of its proper divisors (2040214711680).

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

738331200000 is an frugal number, since it uses more digits than its factorization.

738331200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 738331200000 its reverse (2133837), we get a palindrome (738333333837).

The spelling of 738331200000 in words is "seven hundred thirty-eight billion, three hundred thirty-one million, two hundred thousand".