3489904080 has 720 divisors, whose sum is σ = 14018209920. Its totient is φ = 774918144.

The previous prime is 3489904073. The next prime is 3489904111. The reversal of 3489904080 is 804099843.

It is a happy number.

3489904080 is a `hidden beast` number, since 3 + 489 + 90 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81160539 + ... + 81160581.

It is an arithmetic number, because the mean of its divisors is an integer number (19469736).

Almost surely, 2^3489904080 is an apocalyptic number.

3489904080 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 3489904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009104960).

3489904080 is an abundant number, since it is smaller than the sum of its proper divisors (10528305840).

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

3489904080 is a wasteful number, since it uses less digits than its factorization.

3489904080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3489904080 is about 59075.4101128380. The cubic root of 3489904080 is about 1516.8332152703.

The spelling of 3489904080 in words is "three billion, four hundred eighty-nine million, nine hundred four thousand, eighty".