3434188428000 has 960 divisors, whose sum is σ = 14559599710656. Its totient is φ = 783544320000.

The previous prime is 3434188427993. The next prime is 3434188428007. The reversal of 3434188428000 is 8248814343.

It is a happy number.

3434188428000 is a `hidden beast` number, since 3 + 43 + 4 + 188 + 428 + 0 + 0 + 0 = 666.

3434188428000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3434188427993) and next prime (3434188428007).

It is a super-2 number, since 2×3434188428000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434188428007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60559660 + ... + 60616340.

Almost surely, 2^{3434188428000} is an apocalyptic number.

3434188428000 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 3434188428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279799855328).

3434188428000 is an abundant number, since it is smaller than the sum of its proper divisors (11125411282656).

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

3434188428000 is a wasteful number, since it uses less digits than its factorization.

3434188428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56746 (or 56719 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3434188428000 in words is "three trillion, four hundred thirty-four billion, one hundred eighty-eight million, four hundred twenty-eight thousand".