387350964 has 192 divisors, whose sum is σ = 1348730880. Its totient is φ = 92845440.

The previous prime is 387350963. The next prime is 387350969. The reversal of 387350964 is 469053783.

387350964 is a `hidden beast` number, since 3 + 87 + 3 + 509 + 64 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (387350963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106317 + ... + 109899.

It is an arithmetic number, because the mean of its divisors is an integer number (7024640).

Almost surely, 2^387350964 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 387350964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674365440).

387350964 is an abundant number, since it is smaller than the sum of its proper divisors (961379916).

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

387350964 is a wasteful number, since it uses less digits than its factorization.

387350964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3619 counting only the distinct ones).

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

The square root of 387350964 is about 19681.2338027879. The cubic root of 387350964 is about 728.9563895401.

The spelling of 387350964 in words is "three hundred eighty-seven million, three hundred fifty thousand, nine hundred sixty-four".