3458742656 has 64 divisors (see below), whose sum is σ = 7002402000. Its totient is φ = 1701513216.

The previous prime is 3458742631. The next prime is 3458742659. The reversal of 3458742656 is 6562478543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458742659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189675 + ... + 2191253.

Almost surely, 2^3458742656 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 3458742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501201000).

3458742656 is an abundant number, since it is smaller than the sum of its proper divisors (3543659344).

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

3458742656 is a wasteful number, since it uses less digits than its factorization.

3458742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1847 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 50.

The square root of 3458742656 is about 58811.0759636312. The cubic root of 3458742656 is about 1512.3050997275.

The spelling of 3458742656 in words is "three billion, four hundred fifty-eight million, seven hundred forty-two thousand, six hundred fifty-six".