3386780628000 has 3072 divisors, whose sum is σ = 15458107392000. Its totient is φ = 640120320000.

The previous prime is 3386780627987. The next prime is 3386780628017. The reversal of 3386780628000 is 8260876833.

It is a super-2 number, since 2×3386780628000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 26667563937 + ... + 26667564063.

It is an arithmetic number, because the mean of its divisors is an integer number (5031936000).

Almost surely, 2^{3386780628000} is an apocalyptic number.

3386780628000 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 3386780628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729053696000).

3386780628000 is an abundant number, since it is smaller than the sum of its proper divisors (12071326764000).

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

3386780628000 is a wasteful number, since it uses less digits than its factorization.

3386780628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 3386780628000 in words is "three trillion, three hundred eighty-six billion, seven hundred eighty million, six hundred twenty-eight thousand".