3378827520 has 576 divisors, whose sum is σ = 13033198080. Its totient is φ = 836075520.

The previous prime is 3378827519. The next prime is 3378827527. The reversal of 3378827520 is 257288733.

3378827520 is a `hidden beast` number, since 3 + 378 + 8 + 275 + 2 + 0 = 666.

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

It is a super-2 number, since 2×3378827520² = 22832950819818700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3378827527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47589085 + ... + 47589155.

It is an arithmetic number, because the mean of its divisors is an integer number (22627080).

Almost surely, 2^3378827520 is an apocalyptic number.

3378827520 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 3378827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516599040).

3378827520 is an abundant number, since it is smaller than the sum of its proper divisors (9654370560).

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

3378827520 is an frugal number, since it uses more digits than its factorization.

3378827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3378827520 is about 58127.6829058238. The cubic root of 3378827520 is about 1500.5668257787.

The spelling of 3378827520 in words is "three billion, three hundred seventy-eight million, eight hundred twenty-seven thousand, five hundred twenty".