395780799024 has 960 divisors, whose sum is σ = 1374467028480. Its totient is φ = 109107855360.

The previous prime is 395780798999. The next prime is 395780799059. The reversal of 395780799024 is 420997087593.

395780799024 is a `hidden beast` number, since 39 + 578 + 0 + 7 + 9 + 9 + 0 + 24 = 666.

395780799024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1875738279 + ... + 1875738489.

It is an arithmetic number, because the mean of its divisors is an integer number (1431736488).

Almost surely, 2^395780799024 is an apocalyptic number.

395780799024 is a gapful number since it is divisible by the number (34) 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 395780799024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687233514240).

395780799024 is an abundant number, since it is smaller than the sum of its proper divisors (978686229456).

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

395780799024 is a wasteful number, since it uses less digits than its factorization.

395780799024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 395780799024 in words is "three hundred ninety-five billion, seven hundred eighty million, seven hundred ninety-nine thousand, twenty-four".