3442256640 has 216 divisors, whose sum is σ = 12188576400. Its totient is φ = 896458752.

The previous prime is 3442256591. The next prime is 3442256689. The reversal of 3442256640 is 466522443.

3442256640 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 2 + 5 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3442256591) and next prime (3442256689).

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 = 3442256595 and 3442256604.

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 23 ways as a sum of consecutive naturals, for example, 491886 + ... + 498834.

Almost surely, 2^3442256640 is an apocalyptic number.

3442256640 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 3442256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094288200).

3442256640 is an abundant number, since it is smaller than the sum of its proper divisors (8746319760).

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

3442256640 is a wasteful number, since it uses less digits than its factorization.

3442256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3442256640 is about 58670.7477368407. The cubic root of 3442256640 is about 1509.8984830075.

The spelling of 3442256640 in words is "three billion, four hundred forty-two million, two hundred fifty-six thousand, six hundred forty".