3458431680 has 336 divisors, whose sum is σ = 12712842240. Its totient is φ = 793774080.

The previous prime is 3458431673. The next prime is 3458431693. The reversal of 3458431680 is 861348543.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2206257 + ... + 2207823.

It is an arithmetic number, because the mean of its divisors is an integer number (37835840).

Almost surely, 2^3458431680 is an apocalyptic number.

3458431680 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 3458431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356421120).

3458431680 is an abundant number, since it is smaller than the sum of its proper divisors (9254410560).

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

3458431680 is a wasteful number, since it uses less digits than its factorization.

3458431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3458431680 is about 58808.4320484741. The cubic root of 3458431680 is about 1512.2597745200.

The spelling of 3458431680 in words is "three billion, four hundred fifty-eight million, four hundred thirty-one thousand, six hundred eighty".