3440450376 has 192 divisors, whose sum is σ = 10594584000. Its totient is φ = 1037318400.

The previous prime is 3440450371. The next prime is 3440450399. The reversal of 3440450376 is 6730540443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3440450376.

It is not an unprimeable number, because it can be changed into a prime (3440450371) 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 47 ways as a sum of consecutive naturals, for example, 7462786 + ... + 7463246.

It is an arithmetic number, because the mean of its divisors is an integer number (55180125).

Almost surely, 2^3440450376 is an apocalyptic number.

3440450376 is a gapful number since it is divisible by the number (36) 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 3440450376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297292000).

3440450376 is an abundant number, since it is smaller than the sum of its proper divisors (7154133624).

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

3440450376 is a wasteful number, since it uses less digits than its factorization.

3440450376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3440450376 is about 58655.3524923344. The cubic root of 3440450376 is about 1509.6343391887.

The spelling of 3440450376 in words is "three billion, four hundred forty million, four hundred fifty thousand, three hundred seventy-six".