3442832640 has 576 divisors, whose sum is σ = 13460966400. Its totient is φ = 828112896.

The previous prime is 3442832633. The next prime is 3442832641. The reversal of 3442832640 is 462382443.

3442832640 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3442832595 and 3442832604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442832641) 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, 35493072 + ... + 35493168.

Almost surely, 2^3442832640 is an apocalyptic number.

3442832640 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 3442832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730483200).

3442832640 is an abundant number, since it is smaller than the sum of its proper divisors (10018133760).

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

3442832640 is a wasteful number, since it uses less digits than its factorization.

3442832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3442832640 is about 58675.6562809484. The cubic root of 3442832640 is about 1509.9826964671.

The spelling of 3442832640 in words is "three billion, four hundred forty-two million, eight hundred thirty-two thousand, six hundred forty".