3489419520 has 288 divisors, whose sum is σ = 12785955840. Its totient is φ = 900218880.

The previous prime is 3489419497. The next prime is 3489419533. The reversal of 3489419520 is 259149843.

3489419520 is a `hidden beast` number, since 3 + 4 + 89 + 41 + 9 + 520 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069732 + ... + 1072988.

It is an arithmetic number, because the mean of its divisors is an integer number (44395680).

Almost surely, 2^3489419520 is an apocalyptic number.

3489419520 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 3489419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392977920).

3489419520 is an abundant number, since it is smaller than the sum of its proper divisors (9296536320).

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

3489419520 is a wasteful number, since it uses less digits than its factorization.

3489419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3489419520 is about 59071.3087716871. The cubic root of 3489419520 is about 1516.7630098334.

The spelling of 3489419520 in words is "three billion, four hundred eighty-nine million, four hundred nineteen thousand, five hundred twenty".