338751072 has 180 divisors, whose sum is σ = 1096888716. Its totient is φ = 101710080.

The previous prime is 338751041. The next prime is 338751073. The reversal of 338751072 is 270157833.

It is a super-2 number, since 2×338751072² = 229504577562298368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338751073) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3107754 + ... + 3107862.

Almost surely, 2^338751072 is an apocalyptic number.

338751072 is a gapful number since it is divisible by the number (32) 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 338751072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548444358).

338751072 is an abundant number, since it is smaller than the sum of its proper divisors (758137644).

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

338751072 is a wasteful number, since it uses less digits than its factorization.

338751072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 338751072 is about 18405.1914415471. The cubic root of 338751072 is about 697.0975548684.

The spelling of 338751072 in words is "three hundred thirty-eight million, seven hundred fifty-one thousand, seventy-two".