338180400 has 240 divisors, whose sum is σ = 1217317920. Its totient is φ = 89164800.

The previous prime is 338180399. The next prime is 338180417. The reversal of 338180400 is 4081833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338180400² = 228731965888320000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1868310 + ... + 1868490.

It is an arithmetic number, because the mean of its divisors is an integer number (5072158).

Almost surely, 2^338180400 is an apocalyptic number.

338180400 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 338180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608658960).

338180400 is an abundant number, since it is smaller than the sum of its proper divisors (879137520).

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

338180400 is a wasteful number, since it uses less digits than its factorization.

338180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 338180400 is about 18389.6818895815. The cubic root of 338180400 is about 696.7058831379.

The spelling of 338180400 in words is "three hundred thirty-eight million, one hundred eighty thousand, four hundred".