385103640 has 64 divisors (see below), whose sum is σ = 1156780800. Its totient is φ = 102563712.

The previous prime is 385103639. The next prime is 385103681. The reversal of 385103640 is 46301583.

It is a super-3 number, since 3×385103640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 385103598 and 385103607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126051 + ... + 129069.

It is an arithmetic number, because the mean of its divisors is an integer number (18074700).

Almost surely, 2^385103640 is an apocalyptic number.

385103640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385103640 is an abundant number, since it is smaller than the sum of its proper divisors (771677160).

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

385103640 is a wasteful number, since it uses less digits than its factorization.

385103640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 385103640 is about 19624.0576843832. The cubic root of 385103640 is about 727.5439068457.

The spelling of 385103640 in words is "three hundred eighty-five million, one hundred three thousand, six hundred forty".