338350350 has 96 divisors (see below), whose sum is σ = 909941760. Its totient is φ = 82707840.

The previous prime is 338350343. The next prime is 338350367. The reversal of 338350350 is 53053833.

It is a super-2 number, since 2×338350350² = 228961918690245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 325131 + ... + 326169.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^338350350 is an apocalyptic number.

338350350 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 338350350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

338350350 is an abundant number, since it is smaller than the sum of its proper divisors (571591410).

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

338350350 is a wasteful number, since it uses less digits than its factorization.

338350350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 338350350 is about 18394.3021069026. The cubic root of 338350350 is about 696.8225716823.

The spelling of 338350350 in words is "three hundred thirty-eight million, three hundred fifty thousand, three hundred fifty".