3421464640 has 112 divisors (see below), whose sum is σ = 9077577984. Its totient is φ = 1217638400.

The previous prime is 3421464617. The next prime is 3421464643. The reversal of 3421464640 is 464641243.

3421464640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3421464596 and 3421464605.

It is not an unprimeable number, because it can be changed into a prime (3421464643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155100 + ... + 175780.

Almost surely, 2^3421464640 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 3421464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538788992).

3421464640 is an abundant number, since it is smaller than the sum of its proper divisors (5656113344).

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

3421464640 is a wasteful number, since it uses less digits than its factorization.

3421464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20756 (or 20746 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 3421464640 is about 58493.2871362176. The cubic root of 3421464640 is about 1506.8523000276.

The spelling of 3421464640 in words is "three billion, four hundred twenty-one million, four hundred sixty-four thousand, six hundred forty".