3428885460 has 384 divisors, whose sum is σ = 13247668224. Its totient is φ = 639498240.

The previous prime is 3428885443. The next prime is 3428885507. The reversal of 3428885460 is 645888243.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 2221449 + ... + 2222991.

It is an arithmetic number, because the mean of its divisors is an integer number (34499136).

Almost surely, 2^3428885460 is an apocalyptic number.

3428885460 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 3428885460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623834112).

3428885460 is an abundant number, since it is smaller than the sum of its proper divisors (9818782764).

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

3428885460 is a wasteful number, since it uses less digits than its factorization.

3428885460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 3428885460 is about 58556.6858693352. The cubic root of 3428885460 is about 1507.9409181402.

It can be divided in two parts, 3428 and 885460, that added together give a palindrome (888888).

The spelling of 3428885460 in words is "three billion, four hundred twenty-eight million, eight hundred eighty-five thousand, four hundred sixty".