3480721200 has 480 divisors, whose sum is σ = 13716622080. Its totient is φ = 831283200.

The previous prime is 3480721177. The next prime is 3480721213. The reversal of 3480721200 is 21270843.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9860224 + ... + 9860576.

It is an arithmetic number, because the mean of its divisors is an integer number (28576296).

Almost surely, 2^3480721200 is an apocalyptic number.

3480721200 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 3480721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858311040).

3480721200 is an abundant number, since it is smaller than the sum of its proper divisors (10235900880).

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

3480721200 is a wasteful number, since it uses less digits than its factorization.

3480721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3480721200 is about 58997.6372408252. The cubic root of 3480721200 is about 1515.5016474237.

The spelling of 3480721200 in words is "three billion, four hundred eighty million, seven hundred twenty-one thousand, two hundred".