3458669760 has 896 divisors, whose sum is σ = 15484815360. Its totient is φ = 707346432.

The previous prime is 3458669743. The next prime is 3458669821. The reversal of 3458669760 is 679668543.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3458669697 and 3458669706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41670679 + ... + 41670761.

It is an arithmetic number, because the mean of its divisors is an integer number (17282160).

Almost surely, 2^3458669760 is an apocalyptic number.

3458669760 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 3458669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742407680).

3458669760 is an abundant number, since it is smaller than the sum of its proper divisors (12026145600).

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

3458669760 is a wasteful number, since it uses less digits than its factorization.

3458669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3458669760 is about 58810.4562131599. The cubic root of 3458669760 is about 1512.2944752725.

The spelling of 3458669760 in words is "three billion, four hundred fifty-eight million, six hundred sixty-nine thousand, seven hundred sixty".