3430285651200 has 864 divisors, whose sum is σ = 12109158464256. Its totient is φ = 853310177280.

The previous prime is 3430285651189. The next prime is 3430285651201. The reversal of 3430285651200 is 21565820343.

It is a happy number.

It is a super-2 number, since 2×3430285651200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430285651201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3126969052 + ... + 3126970148.

It is an arithmetic number, because the mean of its divisors is an integer number (14015229704).

Almost surely, 2^{3430285651200} is an apocalyptic number.

3430285651200 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 3430285651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054579232128).

3430285651200 is an abundant number, since it is smaller than the sum of its proper divisors (8678872813056).

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

3430285651200 is a wasteful number, since it uses less digits than its factorization.

3430285651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 3430285651200 in words is "three trillion, four hundred thirty billion, two hundred eighty-five million, six hundred fifty-one thousand, two hundred".