3489363360 has 288 divisors, whose sum is σ = 14113636992. Its totient is φ = 797506560.

The previous prime is 3489363313. The next prime is 3489363377. The reversal of 3489363360 is 633639843.

3489363360 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 3 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3489363360² = 24351313316220979200, which contains 22 as substring.

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, 265750 + ... + 278570.

It is an arithmetic number, because the mean of its divisors is an integer number (49005684).

Almost surely, 2^3489363360 is an apocalyptic number.

3489363360 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 3489363360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056818496).

3489363360 is an abundant number, since it is smaller than the sum of its proper divisors (10624273632).

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

3489363360 is a wasteful number, since it uses less digits than its factorization.

3489363360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12858 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3489363360 is about 59070.8334120994. The cubic root of 3489363360 is about 1516.7548726760.

The spelling of 3489363360 in words is "three billion, four hundred eighty-nine million, three hundred sixty-three thousand, three hundred sixty".