338625540 has 72 divisors (see below), whose sum is σ = 1120549248. Its totient is φ = 82090560.

The previous prime is 338625523. The next prime is 338625541. The reversal of 338625540 is 45526833.

It is a happy number.

338625540 is a `hidden beast` number, since 33 + 86 + 2 + 5 + 540 = 666.

It is a super-2 number, since 2×338625540² = 229334512680583200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338625495 and 338625504.

It is not an unprimeable number, because it can be changed into a prime (338625541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83532 + ... + 87491.

It is an arithmetic number, because the mean of its divisors is an integer number (15563184).

Almost surely, 2^338625540 is an apocalyptic number.

338625540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338625540 is an abundant number, since it is smaller than the sum of its proper divisors (781923708).

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

338625540 is a wasteful number, since it uses less digits than its factorization.

338625540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171049 (or 171044 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 338625540 is about 18401.7808920767. The cubic root of 338625540 is about 697.0114357196.

The spelling of 338625540 in words is "three hundred thirty-eight million, six hundred twenty-five thousand, five hundred forty".