393761088 has 168 divisors, whose sum is σ = 1338023232. Its totient is φ = 112472064.

The previous prime is 393761059. The next prime is 393761129. The reversal of 393761088 is 880167393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107056 + ... + 110672.

It is an arithmetic number, because the mean of its divisors is an integer number (7964424).

Almost surely, 2^393761088 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 393761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669011616).

393761088 is an abundant number, since it is smaller than the sum of its proper divisors (944262144).

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

393761088 is an equidigital number, since it uses as much as digits as its factorization.

393761088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 393761088 is about 19843.4142223560. The cubic root of 393761088 is about 732.9554843188.

It can be divided in two parts, 3937 and 61088, that added together give a square (65025 = 255²).

The spelling of 393761088 in words is "three hundred ninety-three million, seven hundred sixty-one thousand, eighty-eight".