321113376 has 192 divisors, whose sum is σ = 1019289600. Its totient is φ = 97977600.

The previous prime is 321113371. The next prime is 321113381. The reversal of 321113376 is 673311123.

321113376 is a `hidden beast` number, since 321 + 1 + 1 + 337 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (321113371) and next prime (321113381).

It is a super-3 number, since 3×321113376³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321113371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508581 + ... + 509211.

It is an arithmetic number, because the mean of its divisors is an integer number (5308800).

Almost surely, 2^321113376 is an apocalyptic number.

321113376 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 321113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509644800).

321113376 is an abundant number, since it is smaller than the sum of its proper divisors (698176224).

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

321113376 is a wasteful number, since it uses less digits than its factorization.

321113376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 321113376 is about 17919.6366034582. The cubic root of 321113376 is about 684.7827296792.

Adding to 321113376 its reverse (673311123), we get a palindrome (994424499).

It can be divided in two parts, 321113 and 376, that added together give a square (321489 = 567²).

The spelling of 321113376 in words is "three hundred twenty-one million, one hundred thirteen thousand, three hundred seventy-six".