393734016 has 192 divisors, whose sum is σ = 1243045440. Its totient is φ = 118886400.

The previous prime is 393733981. The next prime is 393734021. The reversal of 393734016 is 610437393.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913321 + ... + 913751.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^393734016 is an apocalyptic number.

393734016 is a gapful number since it is divisible by the number (36) 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 393734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

393734016 is an abundant number, since it is smaller than the sum of its proper divisors (849311424).

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

393734016 is a wasteful number, since it uses less digits than its factorization.

393734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 393734016 is about 19842.7320699545. The cubic root of 393734016 is about 732.9386864632.

The spelling of 393734016 in words is "three hundred ninety-three million, seven hundred thirty-four thousand, sixteen".