3453378240 has 448 divisors, whose sum is σ = 12609063936. Its totient is φ = 794247168.

The previous prime is 3453378233. The next prime is 3453378281. The reversal of 3453378240 is 428733543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15213007 + ... + 15213233.

It is an arithmetic number, because the mean of its divisors is an integer number (28145232).

Almost surely, 2^3453378240 is an apocalyptic number.

3453378240 is a gapful number since it is divisible by the number (30) 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 3453378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304531968).

3453378240 is an abundant number, since it is smaller than the sum of its proper divisors (9155685696).

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

3453378240 is a wasteful number, since it uses less digits than its factorization.

3453378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 3453378240 is about 58765.4510745897. The cubic root of 3453378240 is about 1511.5228471137.

The spelling of 3453378240 in words is "three billion, four hundred fifty-three million, three hundred seventy-eight thousand, two hundred forty".