3441552240 has 320 divisors, whose sum is σ = 12599193600. Its totient is φ = 776724480.

The previous prime is 3441552227. The next prime is 3441552241. The reversal of 3441552240 is 422551443.

3441552240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 3441552198 and 3441552207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441552241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7984825 + ... + 7985255.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 2^3441552240 is an apocalyptic number.

3441552240 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 3441552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

3441552240 is an abundant number, since it is smaller than the sum of its proper divisors (9157641360).

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

3441552240 is a wasteful number, since it uses less digits than its factorization.

3441552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3441552240 is about 58664.7444382058. The cubic root of 3441552240 is about 1509.7954841942.

The spelling of 3441552240 in words is "three billion, four hundred forty-one million, five hundred fifty-two thousand, two hundred forty".