376409088 has 264 divisors, whose sum is σ = 1226234880. Its totient is φ = 110223360.

The previous prime is 376409083. The next prime is 376409107. The reversal of 376409088 is 880904673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (376409083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4764633 + ... + 4764711.

Almost surely, 2^376409088 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 376409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613117440).

376409088 is an abundant number, since it is smaller than the sum of its proper divisors (849825792).

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

376409088 is a wasteful number, since it uses less digits than its factorization.

376409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 376409088 is about 19401.2651133889. The cubic root of 376409088 is about 722.0268813384.

The spelling of 376409088 in words is "three hundred seventy-six million, four hundred nine thousand, eighty-eight".