3428352000000 has 1064 divisors, whose sum is σ = 13107007228160. Its totient is φ = 884736000000.

The previous prime is 3428351999999. The next prime is 3428352000013. The reversal of 3428352000000 is 2538243.

3428352000000 is a `hidden beast` number, since 3 + 428 + 35 + 200 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 110591999985 + ... + 110592000015.

Almost surely, 2^{3428352000000} is an apocalyptic number.

3428352000000 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 3428352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553503614080).

3428352000000 is an abundant number, since it is smaller than the sum of its proper divisors (9678655228160).

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

3428352000000 is an frugal number, since it uses more digits than its factorization.

3428352000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3428352000000 its reverse (2538243), we get a palindrome (3428354538243).

The spelling of 3428352000000 in words is "three trillion, four hundred twenty-eight billion, three hundred fifty-two million", and thus it is an aban number.