3414225763200 has 2304 divisors, whose sum is σ = 15229628812800. Its totient is φ = 664896798720.

The previous prime is 3414225763189. The next prime is 3414225763231. The reversal of 3414225763200 is 23675224143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3494601112 + ... + 3494602088.

It is an arithmetic number, because the mean of its divisors is an integer number (6610081950).

Almost surely, 2^{3414225763200} is an apocalyptic number.

3414225763200 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 3414225763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614814406400).

3414225763200 is an abundant number, since it is smaller than the sum of its proper divisors (11815403049600).

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

3414225763200 is a wasteful number, since it uses less digits than its factorization.

3414225763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 3414225763200 in words is "three trillion, four hundred fourteen billion, two hundred twenty-five million, seven hundred sixty-three thousand, two hundred".