3440257872 has 160 divisors (see below), whose sum is σ = 9332736000. Its totient is φ = 1091211264.

The previous prime is 3440257841. The next prime is 3440257879. The reversal of 3440257872 is 2787520443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440257879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17287629 + ... + 17287827.

It is an arithmetic number, because the mean of its divisors is an integer number (58329600).

Almost surely, 2^3440257872 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 3440257872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666368000).

3440257872 is an abundant number, since it is smaller than the sum of its proper divisors (5892478128).

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

3440257872 is a wasteful number, since it uses less digits than its factorization.

3440257872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 3440257872 is about 58653.7114938177. The cubic root of 3440257872 is about 1509.6061824033.

The spelling of 3440257872 in words is "three billion, four hundred forty million, two hundred fifty-seven thousand, eight hundred seventy-two".