396314295527304 has 3840 divisors, whose sum is σ = 1566186209280000. Its totient is φ = 93156710169600.

The previous prime is 396314295527287. The next prime is 396314295527321. The reversal of 396314295527304 is 403725592413693.

It is a happy number.

396314295527304 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 1 + 4 + 2 + 9 + 552 + 73 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (396314295527287) and next prime (396314295527321).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2011747692934 + ... + 2011747693130.

It is an arithmetic number, because the mean of its divisors is an integer number (407860992000).

Almost surely, 2^{396314295527304} 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 396314295527304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783093104640000).

396314295527304 is an abundant number, since it is smaller than the sum of its proper divisors (1169871913752696).

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

396314295527304 is a wasteful number, since it uses less digits than its factorization.

396314295527304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 396314295527304 in words is "three hundred ninety-six trillion, three hundred fourteen billion, two hundred ninety-five million, five hundred twenty-seven thousand, three hundred four".