3370554144 has 72 divisors (see below), whose sum is σ = 9606362220. Its totient is φ = 1121015808.

The previous prime is 3370554127. The next prime is 3370554163. The reversal of 3370554144 is 4414550733.

3370554144 = 441² + 442² + ... + 2168².

3370554144 is a `hidden beast` number, since 3 + 3 + 70 + 5 + 541 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2363126544 + 1007427600 = 48612^2 + 31740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3370554144² = 22721270475271145472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3370554099 and 3370554108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118812 + ... + 144420.

Almost surely, 2^3370554144 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 3370554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803181110).

3370554144 is an abundant number, since it is smaller than the sum of its proper divisors (6235808076).

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

3370554144 is a wasteful number, since it uses less digits than its factorization.

3370554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26082 (or 26071 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3370554144 is about 58056.4737475503. The cubic root of 3370554144 is about 1499.3410652457.

The spelling of 3370554144 in words is "three billion, three hundred seventy million, five hundred fifty-four thousand, one hundred forty-four".