338667540 has 72 divisors (see below), whose sum is σ = 1007382432. Its totient is φ = 84994560.

The previous prime is 338667521. The next prime is 338667559. The reversal of 338667540 is 45766833.

It is an interprime number because it is at equal distance from previous prime (338667521) and next prime (338667559).

It is a super-2 number, since 2×338667540² = 229391405299303200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338667492 and 338667501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7575 + ... + 27105.

Almost surely, 2^338667540 is an apocalyptic number.

338667540 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 338667540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503691216).

338667540 is an abundant number, since it is smaller than the sum of its proper divisors (668714892).

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

338667540 is a wasteful number, since it uses less digits than its factorization.

338667540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19577 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 338667540 is about 18402.9220505875. The cubic root of 338667540 is about 697.0402514926.

The spelling of 338667540 in words is "three hundred thirty-eight million, six hundred sixty-seven thousand, five hundred forty".