376233984 has 252 divisors, whose sum is σ = 1289800824. Its totient is φ = 107495424.

The previous prime is 376233983. The next prime is 376234003. The reversal of 376233984 is 489332673.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (653184) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376233983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53747709 + ... + 53747715.

Almost surely, 2^376233984 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 376233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644900412).

376233984 is an abundant number, since it is smaller than the sum of its proper divisors (913566840).

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

376233984 is an frugal number, since it uses more digits than its factorization.

376233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 376233984 is about 19396.7518930361. The cubic root of 376233984 is about 721.9149026349.

Multiplying 376233984 by its product of digits (653184), we get a square (245750018605056 = 15676416²).

376233984 divided by its product of digits (653184) gives a square (576 = 24²).

The spelling of 376233984 in words is "three hundred seventy-six million, two hundred thirty-three thousand, nine hundred eighty-four".