338145300 has 288 divisors, whose sum is σ = 1181174400. Its totient is φ = 82667520.

The previous prime is 338145277. The next prime is 338145347. The reversal of 338145300 is 3541833.

It is a happy number.

It is a super-2 number, since 2×338145300² = 228684487824180000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2432631 + ... + 2432769.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^338145300 is an apocalyptic number.

338145300 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 338145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590587200).

338145300 is an abundant number, since it is smaller than the sum of its proper divisors (843029100).

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

338145300 is a wasteful number, since it uses less digits than its factorization.

338145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 338145300 is about 18388.7275253075. The cubic root of 338145300 is about 696.6817784268.

The spelling of 338145300 in words is "three hundred thirty-eight million, one hundred forty-five thousand, three hundred".