3421310400 has 210 divisors, whose sum is σ = 12576352800. Its totient is φ = 912314880.

The previous prime is 3421310369. The next prime is 3421310419. The reversal of 3421310400 is 40131243.

3421310400 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116401 + ... + 142799.

Almost surely, 2^3421310400 is an apocalyptic number.

3421310400 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 3421310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288176400).

3421310400 is an abundant number, since it is smaller than the sum of its proper divisors (9155042400).

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

3421310400 is a wasteful number, since it uses less digits than its factorization.

3421310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26433 (or 26409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3421310400 is about 58491.9686794691. The cubic root of 3421310400 is about 1506.8296566652.

Adding to 3421310400 its reverse (40131243), we get a palindrome (3461441643).

The spelling of 3421310400 in words is "three billion, four hundred twenty-one million, three hundred ten thousand, four hundred".