3421261600 has 144 divisors (see below), whose sum is σ = 8980675200. Its totient is φ = 1268628480.

The previous prime is 3421261583. The next prime is 3421261609. The reversal of 3421261600 is 61621243.

3421261600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3421261609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712006 + ... + 716794.

It is an arithmetic number, because the mean of its divisors is an integer number (62365800).

Almost surely, 2^3421261600 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 3421261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490337600).

3421261600 is an abundant number, since it is smaller than the sum of its proper divisors (5559413600).

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

3421261600 is a wasteful number, since it uses less digits than its factorization.

3421261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3421261600 is about 58491.5515266949. The cubic root of 3421261600 is about 1506.8224923891.

Adding to 3421261600 its reverse (61621243), we get a palindrome (3482882843).

The spelling of 3421261600 in words is "three billion, four hundred twenty-one million, two hundred sixty-one thousand, six hundred".