3453399040 has 416 divisors, whose sum is σ = 10898616960. Its totient is φ = 1019215872.

The previous prime is 3453399013. The next prime is 3453399043. The reversal of 3453399040 is 409933543.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3453398984 and 3453399002.

It is not an unprimeable number, because it can be changed into a prime (3453399043) 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 31 ways as a sum of consecutive naturals, for example, 31682506 + ... + 31682614.

Almost surely, 2^3453399040 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 3453399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449308480).

3453399040 is an abundant number, since it is smaller than the sum of its proper divisors (7445217920).

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

3453399040 is a wasteful number, since it uses less digits than its factorization.

3453399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 3453399040 is about 58765.6280490560. The cubic root of 3453399040 is about 1511.5258817858.

The spelling of 3453399040 in words is "three billion, four hundred fifty-three million, three hundred ninety-nine thousand, forty".