3498128640 has 288 divisors, whose sum is σ = 12526940160. Its totient is φ = 924327936.

The previous prime is 3498128639. The next prime is 3498128687. The reversal of 3498128640 is 468218943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388722 + ... + 4389518.

It is an arithmetic number, because the mean of its divisors is an integer number (43496320).

Almost surely, 2^3498128640 is an apocalyptic number.

3498128640 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 3498128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263470080).

3498128640 is an abundant number, since it is smaller than the sum of its proper divisors (9028811520).

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

3498128640 is a wasteful number, since it uses less digits than its factorization.

3498128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3498128640 is about 59144.9798376836. The cubic root of 3498128640 is about 1518.0238400230.

The spelling of 3498128640 in words is "three billion, four hundred ninety-eight million, one hundred twenty-eight thousand, six hundred forty".