3480867200 has 192 divisors, whose sum is σ = 9028015920. Its totient is φ = 1324646400.

The previous prime is 3480867199. The next prime is 3480867233. The reversal of 3480867200 is 27680843.

3480867200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5641292 + ... + 5641908.

Almost surely, 2^3480867200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514007960).

3480867200 is an abundant number, since it is smaller than the sum of its proper divisors (5547148720).

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

3480867200 is a wasteful number, since it uses less digits than its factorization.

3480867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 3480867200 is about 58998.8745655373. The cubic root of 3480867200 is about 1515.5228365331.

The spelling of 3480867200 in words is "three billion, four hundred eighty million, eight hundred sixty-seven thousand, two hundred".