4381676400 has 120 divisors (see below), whose sum is σ = 14488866304. Its totient is φ = 1130745600.

The previous prime is 4381676399. The next prime is 4381676401. The reversal of 4381676400 is 46761834.

It is an interprime number because it is at equal distance from previous prime (4381676399) and next prime (4381676401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381676401) 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 23 ways as a sum of consecutive naturals, for example, 21694 + ... + 96093.

Almost surely, 2^4381676400 is an apocalyptic number.

4381676400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4381676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244433152).

4381676400 is an abundant number, since it is smaller than the sum of its proper divisors (10107189904).

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

4381676400 is a wasteful number, since it uses less digits than its factorization.

4381676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117839 (or 117828 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4381676400 is about 66194.2323771490. The cubic root of 4381676400 is about 1636.3646921430.

The spelling of 4381676400 in words is "four billion, three hundred eighty-one million, six hundred seventy-six thousand, four hundred".