338814326400 has 864 divisors, whose sum is σ = 1279401863040. Its totient is φ = 78667776000.

The previous prime is 338814326393. The next prime is 338814326407. The reversal of 338814326400 is 4623418833.

It is an interprime number because it is at equal distance from previous prime (338814326393) and next prime (338814326407).

It is a super-2 number, since 2×338814326400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338814326407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3492931152 + ... + 3492931248.

Almost surely, 2^338814326400 is an apocalyptic number.

338814326400 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 338814326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639700931520).

338814326400 is an abundant number, since it is smaller than the sum of its proper divisors (940587536640).

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

338814326400 is a wasteful number, since it uses less digits than its factorization.

338814326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 338814326400 in words is "three hundred thirty-eight billion, eight hundred fourteen million, three hundred twenty-six thousand, four hundred".