3434214122400 has 144 divisors (see below), whose sum is σ = 11345208797664. Its totient is φ = 902121876480.

The previous prime is 3434214122399. The next prime is 3434214122407. The reversal of 3434214122400 is 42214124343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3434214122407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10517727 + ... + 10839326.

It is an arithmetic number, because the mean of its divisors is an integer number (78786172206).

Almost surely, 2^{3434214122400} is an apocalyptic number.

3434214122400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434214122400 is an abundant number, since it is smaller than the sum of its proper divisors (7910994675264).

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

3434214122400 is a wasteful number, since it uses less digits than its factorization.

3434214122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21357143 (or 21357130 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3434214122400 its reverse (42214124343), we get a palindrome (3476428246743).

The spelling of 3434214122400 in words is "three trillion, four hundred thirty-four billion, two hundred fourteen million, one hundred twenty-two thousand, four hundred".