393671357820 has 336 divisors, whose sum is σ = 1338299454240. Its totient is φ = 96652942848.

The previous prime is 393671357813. The next prime is 393671357843. The reversal of 393671357820 is 28753176393.

393671357820 is a `hidden beast` number, since 3 + 9 + 3 + 67 + 1 + 3 + 578 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 79414782 + ... + 79419738.

It is an arithmetic number, because the mean of its divisors is an integer number (3983034090).

Almost surely, 2^393671357820 is an apocalyptic number.

393671357820 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 393671357820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669149727120).

393671357820 is an abundant number, since it is smaller than the sum of its proper divisors (944628096420).

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

393671357820 is a wasteful number, since it uses less digits than its factorization.

393671357820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 393671357820 in words is "three hundred ninety-three billion, six hundred seventy-one million, three hundred fifty-seven thousand, eight hundred twenty".