338352240 has 80 divisors (see below), whose sum is σ = 1051646976. Its totient is φ = 89990400.

The previous prime is 338352163. The next prime is 338352269. The reversal of 338352240 is 42253833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338352240² = 228964476626035200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338352198 and 338352207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101805 + ... + 105075.

Almost surely, 2^338352240 is an apocalyptic number.

338352240 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 338352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525823488).

338352240 is an abundant number, since it is smaller than the sum of its proper divisors (713294736).

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

338352240 is a wasteful number, since it uses less digits than its factorization.

338352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 338352240 is about 18394.3534814355. The cubic root of 338352240 is about 696.8238691463.

The spelling of 338352240 in words is "three hundred thirty-eight million, three hundred fifty-two thousand, two hundred forty".