385396704 has 240 divisors, whose sum is σ = 1413853056. Its totient is φ = 100051200.

The previous prime is 385396691. The next prime is 385396721. The reversal of 385396704 is 407693583.

It is a super-4 number, since 4×385396704⁴ (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 385396704.

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 39 ways as a sum of consecutive naturals, for example, 198619 + ... + 200549.

Almost surely, 2^385396704 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 385396704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706926528).

385396704 is an abundant number, since it is smaller than the sum of its proper divisors (1028456352).

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

385396704 is a wasteful number, since it uses less digits than its factorization.

385396704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 385396704 is about 19631.5232215944. The cubic root of 385396704 is about 727.7284137698.

The spelling of 385396704 in words is "three hundred eighty-five million, three hundred ninety-six thousand, seven hundred four".