3378027744 has 288 divisors, whose sum is σ = 12022605504. Its totient is φ = 875888640.

The previous prime is 3378027743. The next prime is 3378027781. The reversal of 3378027744 is 4477208733.

3378027744 is a `hidden beast` number, since 3 + 378 + 0 + 277 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3378027744² = 22822142878467459072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3378027744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378027743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597632 + ... + 1599744.

It is an arithmetic number, because the mean of its divisors is an integer number (41745158).

Almost surely, 2^3378027744 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 3378027744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011302752).

3378027744 is an abundant number, since it is smaller than the sum of its proper divisors (8644577760).

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

3378027744 is a wasteful number, since it uses less digits than its factorization.

3378027744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 3378027744 is about 58120.8030226699. The cubic root of 3378027744 is about 1500.4484205993.

The spelling of 3378027744 in words is "three billion, three hundred seventy-eight million, twenty-seven thousand, seven hundred forty-four".