3442259520 has 336 divisors, whose sum is σ = 13722583680. Its totient is φ = 775692288.

The previous prime is 3442259473. The next prime is 3442259531. The reversal of 3442259520 is 259522443.

3442259520 is a `hidden beast` number, since 3 + 4 + 42 + 2 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470511 + ... + 1472849.

Almost surely, 2^3442259520 is an apocalyptic number.

3442259520 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 3442259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861291840).

3442259520 is an abundant number, since it is smaller than the sum of its proper divisors (10280324160).

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

3442259520 is a wasteful number, since it uses less digits than its factorization.

3442259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3442259520 is about 58670.7722805828. The cubic root of 3442259520 is about 1509.8989040982.

The spelling of 3442259520 in words is "three billion, four hundred forty-two million, two hundred fifty-nine thousand, five hundred twenty".