387916578 has 96 divisors (see below), whose sum is σ = 1043927040. Its totient is φ = 101593440.

The previous prime is 387916577. The next prime is 387916579. The reversal of 387916578 is 875619783.

It is an interprime number because it is at equal distance from previous prime (387916577) and next prime (387916579).

Its product of digits (2540160) is a multiple of the sum of its prime factors (5292).

It is not an unprimeable number, because it can be changed into a prime (387916577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71601 + ... + 76827.

It is an arithmetic number, because the mean of its divisors is an integer number (10874240).

Almost surely, 2^387916578 is an apocalyptic number.

387916578 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 387916578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521963520).

387916578 is an abundant number, since it is smaller than the sum of its proper divisors (656010462).

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

387916578 is a wasteful number, since it uses less digits than its factorization.

387916578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5289 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 387916578 is about 19695.5979345640. The cubic root of 387916578 is about 729.3110269402.

It can be divided in two parts, 38791 and 6578, that added together give a square (45369 = 213²).

The spelling of 387916578 in words is "three hundred eighty-seven million, nine hundred sixteen thousand, five hundred seventy-eight".