385951104 has 384 divisors, whose sum is σ = 1463904000. Its totient is φ = 94556160.

The previous prime is 385951099. The next prime is 385951117. The reversal of 385951104 is 401159583.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685262 + ... + 1685490.

It is an arithmetic number, because the mean of its divisors is an integer number (3812250).

Almost surely, 2^385951104 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 385951104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731952000).

385951104 is an abundant number, since it is smaller than the sum of its proper divisors (1077952896).

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

385951104 is a wasteful number, since it uses less digits than its factorization.

385951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 385951104 is about 19645.6382945426. The cubic root of 385951104 is about 728.0771966603.

The spelling of 385951104 in words is "three hundred eighty-five million, nine hundred fifty-one thousand, one hundred four".