3475200240 has 160 divisors (see below), whose sum is σ = 12016641600. Its totient is φ = 923120640.

The previous prime is 3475200233. The next prime is 3475200269. The reversal of 3475200240 is 420025743.

3475200240 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 (27).

It is a congruent number.

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, 578050 + ... + 584030.

It is an arithmetic number, because the mean of its divisors is an integer number (75104010).

Almost surely, 2^3475200240 is an apocalyptic number.

3475200240 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 3475200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008320800).

3475200240 is an abundant number, since it is smaller than the sum of its proper divisors (8541441360).

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

3475200240 is a wasteful number, since it uses less digits than its factorization.

3475200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3475200240 is about 58950.8290018045. The cubic root of 3475200240 is about 1514.6999503813.

Adding to 3475200240 its reverse (420025743), we get a palindrome (3895225983).

The spelling of 3475200240 in words is "three billion, four hundred seventy-five million, two hundred thousand, two hundred forty".