338802672 has 80 divisors (see below), whose sum is σ = 948633728. Its totient is φ = 103576320.

The previous prime is 338802671. The next prime is 338802677. The reversal of 338802672 is 276208833.

It is a happy number.

It is a super-2 number, since 2×338802672² = 229574501108679168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 338802672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338802671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100047 + ... + 103377.

Almost surely, 2^338802672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338802672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474316864).

338802672 is an abundant number, since it is smaller than the sum of its proper divisors (609831056).

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

338802672 is a wasteful number, since it uses less digits than its factorization.

338802672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 338802672 is about 18406.5931665803. The cubic root of 338802672 is about 697.1329480234.

The spelling of 338802672 in words is "three hundred thirty-eight million, eight hundred two thousand, six hundred seventy-two".