3420102400 has 432 divisors, whose sum is σ = 10315152288. Its totient is φ = 1105920000.

The previous prime is 3420102337. The next prime is 3420102401. The reversal of 3420102400 is 42010243.

3420102400 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420102401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33862350 + ... + 33862450.

Almost surely, 2^3420102400 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 3420102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157576144).

3420102400 is an abundant number, since it is smaller than the sum of its proper divisors (6895049888).

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

3420102400 is a wasteful number, since it uses less digits than its factorization.

3420102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3420102400 is about 58481.6415638275. The cubic root of 3420102400 is about 1506.6522914371.

Adding to 3420102400 its reverse (42010243), we get a palindrome (3462112643).

The spelling of 3420102400 in words is "three billion, four hundred twenty million, one hundred two thousand, four hundred".