3420242400 has 144 divisors (see below), whose sum is σ = 11492264448. Its totient is φ = 882624000.

The previous prime is 3420242389. The next prime is 3420242417. The reversal of 3420242400 is 42420243.

3420242400 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, 51415 + ... + 97385.

It is an arithmetic number, because the mean of its divisors is an integer number (79807392).

Almost surely, 2^3420242400 is an apocalyptic number.

3420242400 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 3420242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746132224).

3420242400 is an abundant number, since it is smaller than the sum of its proper divisors (8072022048).

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

3420242400 is a wasteful number, since it uses less digits than its factorization.

3420242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46025 (or 46012 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3420242400 is about 58482.8385084035. The cubic root of 3420242400 is about 1506.6728491493.

Adding to 3420242400 its reverse (42420243), we get a palindrome (3462662643).

The spelling of 3420242400 in words is "three billion, four hundred twenty million, two hundred forty-two thousand, four hundred".