3442232640 has 224 divisors, whose sum is σ = 13626169344. Its totient is φ = 715253760.

The previous prime is 3442232627. The next prime is 3442232681. The reversal of 3442232640 is 462322443.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 3442232598 and 3442232607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50637 + ... + 97203.

Almost surely, 2^3442232640 is an apocalyptic number.

3442232640 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 3442232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813084672).

3442232640 is an abundant number, since it is smaller than the sum of its proper divisors (10183936704).

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

3442232640 is a wasteful number, since it uses less digits than its factorization.

3442232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46605 (or 46595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3442232640 is about 58670.5432052576. The cubic root of 3442232640 is about 1509.8949739095.

The spelling of 3442232640 in words is "three billion, four hundred forty-two million, two hundred thirty-two thousand, six hundred forty".