3420001200 has 240 divisors, whose sum is σ = 13659054336. Its totient is φ = 710630400.

The previous prime is 3420001177. The next prime is 3420001213. The reversal of 3420001200 is 21000243.

3420001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73894 + ... + 110906.

Almost surely, 2^3420001200 is an apocalyptic number.

3420001200 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 3420001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829527168).

3420001200 is an abundant number, since it is smaller than the sum of its proper divisors (10239053136).

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

3420001200 is a wasteful number, since it uses less digits than its factorization.

3420001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37052 (or 37041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3420001200 is about 58480.7763286364. The cubic root of 3420001200 is about 1506.6374307986.

Adding to 3420001200 its reverse (21000243), we get a palindrome (3441001443).

The spelling of 3420001200 in words is "three billion, four hundred twenty million, one thousand, two hundred".