3489477120 has 480 divisors, whose sum is σ = 13098983040. Its totient is φ = 855244800.

The previous prime is 3489477109. The next prime is 3489477151. The reversal of 3489477120 is 217749843.

3489477120 is a `hidden beast` number, since 3 + 489 + 47 + 7 + 120 = 666.

3489477120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 23109045 + ... + 23109195.

It is an arithmetic number, because the mean of its divisors is an integer number (27289548).

Almost surely, 2^3489477120 is an apocalyptic number.

3489477120 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 3489477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549491520).

3489477120 is an abundant number, since it is smaller than the sum of its proper divisors (9609505920).

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

3489477120 is a wasteful number, since it uses less digits than its factorization.

3489477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3489477120 is about 59071.7963160085. The cubic root of 3489477120 is about 1516.7713555452.

The spelling of 3489477120 in words is "three billion, four hundred eighty-nine million, four hundred seventy-seven thousand, one hundred twenty".