3453978240 has 256 divisors, whose sum is σ = 12330576000. Its totient is φ = 913711104.

The previous prime is 3453978223. The next prime is 3453978263. The reversal of 3453978240 is 428793543.

3453978240 is a `hidden beast` number, since 3 + 4 + 539 + 78 + 2 + 40 = 666.

3453978240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366631 + ... + 2368089.

Almost surely, 2^3453978240 is an apocalyptic number.

3453978240 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 3453978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165288000).

3453978240 is an abundant number, since it is smaller than the sum of its proper divisors (8876597760).

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

3453978240 is a wasteful number, since it uses less digits than its factorization.

3453978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3453978240 is about 58770.5558932362. Note that the first 3 decimals coincide. The cubic root of 3453978240 is about 1511.6103808393.

The spelling of 3453978240 in words is "three billion, four hundred fifty-three million, nine hundred seventy-eight thousand, two hundred forty".