396346245120 has 1800 divisors, whose sum is σ = 1757329336224. Its totient is φ = 85019590656.

The previous prime is 396346245109. The next prime is 396346245131. The reversal of 396346245120 is 21542643693.

396346245120 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 4 + 624 + 5 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396346245109) and next prime (396346245131).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7478231014 + ... + 7478231066.

Almost surely, 2^396346245120 is an apocalyptic number.

396346245120 is a gapful number since it is divisible by the number (30) 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 396346245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878664668112).

396346245120 is an abundant number, since it is smaller than the sum of its proper divisors (1360983091104).

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

396346245120 is an equidigital number, since it uses as much as digits as its factorization.

396346245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 396346245120 in words is "three hundred ninety-six billion, three hundred forty-six million, two hundred forty-five thousand, one hundred twenty".