3489330240 has 1008 divisors, whose sum is σ = 15177576960. Its totient is φ = 729907200.

The previous prime is 3489330239. The next prime is 3489330281. The reversal of 3489330240 is 420339843.

It is a happy number.

3489330240 is a `hidden beast` number, since 3 + 4 + 89 + 330 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3489330195 and 3489330204.

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, 112559025 + ... + 112559055.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^3489330240 is an apocalyptic number.

3489330240 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 3489330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

3489330240 is an abundant number, since it is smaller than the sum of its proper divisors (11688246720).

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

3489330240 is a wasteful number, since it uses less digits than its factorization.

3489330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3489330240 is about 59070.5530700365. The cubic root of 3489330240 is about 1516.7500737986.

The spelling of 3489330240 in words is "three billion, four hundred eighty-nine million, three hundred thirty thousand, two hundred forty".