338041350 has 240 divisors, whose sum is σ = 1037076480. Its totient is φ = 81259200.

The previous prime is 338041337. The next prime is 338041381. The reversal of 338041350 is 53140833.

It is a happy number.

It is a super-2 number, since 2×338041350² = 228543908619645000, 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1769755 + ... + 1769945.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^338041350 is an apocalyptic number.

338041350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338041350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518538240).

338041350 is an abundant number, since it is smaller than the sum of its proper divisors (699035130).

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

338041350 is a wasteful number, since it uses less digits than its factorization.

338041350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

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

The square root of 338041350 is about 18385.9008482043. The cubic root of 338041350 is about 696.6103816110.

The spelling of 338041350 in words is "three hundred thirty-eight million, forty-one thousand, three hundred fifty".