338536400000 has 96 divisors (see below), whose sum is σ = 842982022260. Its totient is φ = 135414400000.

The previous prime is 338536399987. The next prime is 338536400009. The reversal of 338536400000 is 4635833.

It can be written as a sum of positive squares in 6 ways, for example, as 154097072704 + 184439327296 = 392552^2 + 429464^2 .

It is a super-2 number, since 2×338536400000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 338536400000.

It is not an unprimeable number, because it can be changed into a prime (338536400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23171 + ... + 823170.

Almost surely, 2^338536400000 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 338536400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421491011130).

338536400000 is an abundant number, since it is smaller than the sum of its proper divisors (504445622260).

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

338536400000 is an frugal number, since it uses more digits than its factorization.

338536400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846380 (or 846348 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 338536400000 in words is "three hundred thirty-eight billion, five hundred thirty-six million, four hundred thousand".