385703640 has 256 divisors, whose sum is σ = 1483084800. Its totient is φ = 87340032.

The previous prime is 385703639. The next prime is 385703653. The reversal of 385703640 is 46307583.

It is a happy number.

385703640 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 0 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 385703595 and 385703604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232124 + ... + 1232436.

It is an arithmetic number, because the mean of its divisors is an integer number (5793300).

Almost surely, 2^385703640 is an apocalyptic number.

385703640 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 385703640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741542400).

385703640 is an abundant number, since it is smaller than the sum of its proper divisors (1097381160).

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

385703640 is a wasteful number, since it uses less digits than its factorization.

385703640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 385703640 is about 19639.3390927495. The cubic root of 385703640 is about 727.9215539593.

The spelling of 385703640 in words is "three hundred eighty-five million, seven hundred three thousand, six hundred forty".