338248396800 has 1248 divisors, whose sum is σ = 1345578163200. Its totient is φ = 83023626240.

The previous prime is 338248396729. The next prime is 338248396807. The reversal of 338248396800 is 8693842833.

It is a happy number.

338248396800 is a `hidden beast` number, since 3 + 3 + 8 + 248 + 396 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×338248396800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338248396807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2468966332 + ... + 2468966468.

Almost surely, 2^338248396800 is an apocalyptic number.

338248396800 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 338248396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672789081600).

338248396800 is an abundant number, since it is smaller than the sum of its proper divisors (1007329766400).

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

338248396800 is a wasteful number, since it uses less digits than its factorization.

338248396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 338248396800 in words is "three hundred thirty-eight billion, two hundred forty-eight million, three hundred ninety-six thousand, eight hundred".