3463689600 has 960 divisors, whose sum is σ = 15426512640. Its totient is φ = 748154880.

The previous prime is 3463689587. The next prime is 3463689637. The reversal of 3463689600 is 69863643.

3463689600 is a `hidden beast` number, since 3 + 4 + 6 + 36 + 8 + 9 + 600 = 666.

3463689600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41731159 + ... + 41731241.

It is an arithmetic number, because the mean of its divisors is an integer number (16069284).

Almost surely, 2^3463689600 is an apocalyptic number.

3463689600 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 3463689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713256320).

3463689600 is an abundant number, since it is smaller than the sum of its proper divisors (11962823040).

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

3463689600 is a wasteful number, since it uses less digits than its factorization.

3463689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3463689600 is about 58853.1188638291. The cubic root of 3463689600 is about 1513.0257589819.

The spelling of 3463689600 in words is "three billion, four hundred sixty-three million, six hundred eighty-nine thousand, six hundred".