3489987600 has 480 divisors, whose sum is σ = 14032137600. Its totient is φ = 816076800.

The previous prime is 3489987563. The next prime is 3489987607. The reversal of 3489987600 is 67899843.

3489987600 is a `hidden beast` number, since 3 + 489 + 98 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3489987607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3444694 + ... + 3445706.

It is an arithmetic number, because the mean of its divisors is an integer number (29233620).

Almost surely, 2^3489987600 is an apocalyptic number.

3489987600 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 3489987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016068800).

3489987600 is an abundant number, since it is smaller than the sum of its proper divisors (10542150000).

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

3489987600 is a wasteful number, since it uses less digits than its factorization.

3489987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3489987600 is about 59076.1170017123. The cubic root of 3489987600 is about 1516.8453154023.

The spelling of 3489987600 in words is "three billion, four hundred eighty-nine million, nine hundred eighty-seven thousand, six hundred".