3388229084460 has 384 divisors, whose sum is σ = 11142215884800. Its totient is φ = 767386878720.

The previous prime is 3388229084441. The next prime is 3388229084467. The reversal of 3388229084460 is 644809228833.

It is a happy number.

It is a super-2 number, since 2×3388229084460² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3388229084460.

It is not an unprimeable number, because it can be changed into a prime (3388229084467) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78960091 + ... + 79002989.

It is an arithmetic number, because the mean of its divisors is an integer number (29016187200).

Almost surely, 2^{3388229084460} is an apocalyptic number.

3388229084460 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 3388229084460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571107942400).

3388229084460 is an abundant number, since it is smaller than the sum of its proper divisors (7753986800340).

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

3388229084460 is a wasteful number, since it uses less digits than its factorization.

3388229084460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43010 (or 42986 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 3388229084460 in words is "three trillion, three hundred eighty-eight billion, two hundred twenty-nine million, eighty-four thousand, four hundred sixty".