3327883440 has 320 divisors, whose sum is σ = 12517770240. Its totient is φ = 714424320.

The previous prime is 3327883439. The next prime is 3327883463. The reversal of 3327883440 is 443887233.

3327883440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3327883440² = 22149616380452467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3327883392 and 3327883401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4372660 + ... + 4373420.

It is an arithmetic number, because the mean of its divisors is an integer number (39118032).

Almost surely, 2^3327883440 is an apocalyptic number.

3327883440 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 3327883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258885120).

3327883440 is an abundant number, since it is smaller than the sum of its proper divisors (9189886800).

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

3327883440 is a wasteful number, since it uses less digits than its factorization.

3327883440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3327883440 is about 57687.8101508456. The cubic root of 3327883440 is about 1492.9870321748.

The spelling of 3327883440 in words is "three billion, three hundred twenty-seven million, eight hundred eighty-three thousand, four hundred forty".