3428408160 has 384 divisors, whose sum is σ = 12513916800. Its totient is φ = 875888640.

The previous prime is 3428408147. The next prime is 3428408161. The reversal of 3428408160 is 618048243.

It is a super-3 number, since 3×3428408160³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428408161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14225640 + ... + 14225880.

It is an arithmetic number, because the mean of its divisors is an integer number (32588325).

Almost surely, 2^3428408160 is an apocalyptic number.

3428408160 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 3428408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256958400).

3428408160 is an abundant number, since it is smaller than the sum of its proper divisors (9085508640).

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

3428408160 is a wasteful number, since it uses less digits than its factorization.

3428408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3428408160 is about 58552.6101894698. The cubic root of 3428408160 is about 1507.8709465603.

The spelling of 3428408160 in words is "three billion, four hundred twenty-eight million, four hundred eight thousand, one hundred sixty".