331603776 has 252 divisors, whose sum is σ = 1144341120. Its totient is φ = 91445760.

The previous prime is 331603771. The next prime is 331603799. The reversal of 331603776 is 677306133.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×331603776² = 219922128514916352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 331603776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331603771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874755 + ... + 875133.

Almost surely, 2^331603776 is an apocalyptic number.

331603776 is a gapful number since it is divisible by the number (36) 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 331603776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572170560).

331603776 is an abundant number, since it is smaller than the sum of its proper divisors (812737344).

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

331603776 is a wasteful number, since it uses less digits than its factorization.

331603776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 331603776 is about 18209.9911037870. The cubic root of 331603776 is about 692.1599861753.

The spelling of 331603776 in words is "three hundred thirty-one million, six hundred three thousand, seven hundred seventy-six".