3489870384 has 720 divisors, whose sum is σ = 13831114752. Its totient is φ = 798336000.

The previous prime is 3489870361. The next prime is 3489870407. The reversal of 3489870384 is 4830789843.

3489870384 is a `hidden beast` number, since 3 + 489 + 87 + 0 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (3489870361) and next prime (3489870407).

It is a self number, because there is not a number n which added to its sum of digits gives 3489870384.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49153069 + ... + 49153139.

Almost surely, 2^3489870384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3489870384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915557376).

3489870384 is an abundant number, since it is smaller than the sum of its proper divisors (10341244368).

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

3489870384 is a wasteful number, since it uses less digits than its factorization.

3489870384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3489870384 is about 59075.1249173457. The cubic root of 3489870384 is about 1516.8283334383.

The spelling of 3489870384 in words is "three billion, four hundred eighty-nine million, eight hundred seventy thousand, three hundred eighty-four".