387354496 has 32 divisors (see below), whose sum is σ = 776346480. Its totient is φ = 192506880.

The previous prime is 387354491. The next prime is 387354509. The reversal of 387354496 is 694453783.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387354491) 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 3 ways as a sum of consecutive naturals, for example, 12316 + ... + 30436.

Almost surely, 2^387354496 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 387354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388173240).

387354496 is an abundant number, since it is smaller than the sum of its proper divisors (388991984).

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

387354496 is a wasteful number, since it uses less digits than its factorization.

387354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18302 (or 18290 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The square root of 387354496 is about 19681.3235327302. The cubic root of 387354496 is about 728.9586051588.

The spelling of 387354496 in words is "three hundred eighty-seven million, three hundred fifty-four thousand, four hundred ninety-six".