331748352 has 264 divisors, whose sum is σ = 1078850880. Its totient is φ = 100638720.

The previous prime is 331748321. The next prime is 331748357. The reversal of 331748352 is 253847133.

It is a super-2 number, since 2×331748352² = 220113938109431808, which contains 22 as substring.

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

Its product of digits (60480) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331748357) 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, 4672477 + ... + 4672547.

Almost surely, 2^331748352 is an apocalyptic number.

331748352 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 331748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539425440).

331748352 is an abundant number, since it is smaller than the sum of its proper divisors (747102528).

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

331748352 is a wasteful number, since it uses less digits than its factorization.

331748352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 331748352 is about 18213.9603601194. The cubic root of 331748352 is about 692.2605632191.

The spelling of 331748352 in words is "three hundred thirty-one million, seven hundred forty-eight thousand, three hundred fifty-two".