3328827840 has 672 divisors, whose sum is σ = 13280379840. Its totient is φ = 788299776.

The previous prime is 3328827839. The next prime is 3328827907. The reversal of 3328827840 is 487288233.

3328827840 is a `hidden beast` number, since 332 + 8 + 8 + 278 + 40 = 666.

It is a super-2 number, since 2×3328827840² = 22162189576718131200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37402516 + ... + 37402604.

It is an arithmetic number, because the mean of its divisors is an integer number (19762470).

Almost surely, 2^3328827840 is an apocalyptic number.

3328827840 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 3328827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640189920).

3328827840 is an abundant number, since it is smaller than the sum of its proper divisors (9951552000).

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

3328827840 is a wasteful number, since it uses less digits than its factorization.

3328827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3328827840 is about 57695.9950083193. The cubic root of 3328827840 is about 1493.1282474170.

The spelling of 3328827840 in words is "three billion, three hundred twenty-eight million, eight hundred twenty-seven thousand, eight hundred forty".