3489108480 has 640 divisors, whose sum is σ = 14601565440. Its totient is φ = 778567680.

The previous prime is 3489108443. The next prime is 3489108517. The reversal of 3489108480 is 848019843.

3489108480 is a `hidden beast` number, since 3 + 489 + 10 + 84 + 80 = 666.

3489108480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3489108443) and next prime (3489108517).

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 9883984 + ... + 9884336.

It is an arithmetic number, because the mean of its divisors is an integer number (22814946).

Almost surely, 2^3489108480 is an apocalyptic number.

3489108480 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 3489108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300782720).

3489108480 is an abundant number, since it is smaller than the sum of its proper divisors (11112456960).

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

3489108480 is a wasteful number, since it uses less digits than its factorization.

3489108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3489108480 is about 59068.6759628147. The cubic root of 3489108480 is about 1516.7179414027.

The spelling of 3489108480 in words is "three billion, four hundred eighty-nine million, one hundred eight thousand, four hundred eighty".