396342072 has 320 divisors, whose sum is σ = 1379980800. Its totient is φ = 103783680.

The previous prime is 396342053. The next prime is 396342083. The reversal of 396342072 is 270243693.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3025447 + ... + 3025577.

It is an arithmetic number, because the mean of its divisors is an integer number (4312440).

Almost surely, 2^396342072 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 396342072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689990400).

396342072 is an abundant number, since it is smaller than the sum of its proper divisors (983638728).

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

396342072 is a wasteful number, since it uses less digits than its factorization.

396342072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 396342072 is about 19908.3417692182. The cubic root of 396342072 is about 734.5534313543.

The spelling of 396342072 in words is "three hundred ninety-six million, three hundred forty-two thousand, seventy-two".