3401725200 has 120 divisors (see below), whose sum is σ = 10922464608. Its totient is φ = 904995840.

The previous prime is 3401725199. The next prime is 3401725213. The reversal of 3401725200 is 25271043.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 545299 + ... + 551501.

Almost surely, 2^3401725200 is an apocalyptic number.

3401725200 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 3401725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461232304).

3401725200 is an abundant number, since it is smaller than the sum of its proper divisors (7520739408).

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

3401725200 is a wasteful number, since it uses less digits than its factorization.

3401725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3401725200 is about 58324.3105402884. The cubic root of 3401725200 is about 1503.9488839765.

Adding to 3401725200 its reverse (25271043), we get a palindrome (3426996243).

The spelling of 3401725200 in words is "three billion, four hundred one million, seven hundred twenty-five thousand, two hundred".