3370768128 has 576 divisors, whose sum is σ = 12856596480. Its totient is φ = 846692352.

The previous prime is 3370768127. The next prime is 3370768171. The reversal of 3370768128 is 8218670733.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3370768128² = 22724155545481248768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370768127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14466700 + ... + 14466932.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^3370768128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

3370768128 is an abundant number, since it is smaller than the sum of its proper divisors (9485828352).

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

3370768128 is a wasteful number, since it uses less digits than its factorization.

3370768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3370768128 is about 58058.3166135568. The cubic root of 3370768128 is about 1499.3727937781.

It can be divided in two parts, 3370768 and 128, that added together give a square (3370896 = 1836²).

The spelling of 3370768128 in words is "three billion, three hundred seventy million, seven hundred sixty-eight thousand, one hundred twenty-eight".