3482068800 has 336 divisors, whose sum is σ = 13481295872. Its totient is φ = 769996800.

The previous prime is 3482068789. The next prime is 3482068819. The reversal of 3482068800 is 88602843.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 1039929 + ... + 1043271.

Almost surely, 2^3482068800 is an apocalyptic number.

3482068800 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 3482068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740647936).

3482068800 is an abundant number, since it is smaller than the sum of its proper divisors (9999227072).

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

3482068800 is a wasteful number, since it uses less digits than its factorization.

3482068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 3482068800 is about 59009.0569319660. The cubic root of 3482068800 is about 1515.6972033055.

The spelling of 3482068800 in words is "three billion, four hundred eighty-two million, sixty-eight thousand, eight hundred".