3488601600 has 360 divisors, whose sum is σ = 13624665912. Its totient is φ = 845414400.

The previous prime is 3488601593. The next prime is 3488601601. The reversal of 3488601600 is 61068843.

It is a happy number.

3488601600 is a `hidden beast` number, since 3 + 48 + 8 + 6 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3488601600² = 24340682247045120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488601601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265824 + ... + 1268576.

Almost surely, 2^3488601600 is an apocalyptic number.

3488601600 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 3488601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812332956).

3488601600 is an abundant number, since it is smaller than the sum of its proper divisors (10136064312).

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

3488601600 is a wasteful number, since it uses less digits than its factorization.

3488601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3488601600 is about 59064.3852080084. The cubic root of 3488601600 is about 1516.6444908134.

The spelling of 3488601600 in words is "three billion, four hundred eighty-eight million, six hundred one thousand, six hundred".