3315643440 has 160 divisors (see below), whose sum is σ = 10641985536. Its totient is φ = 853079040.

The previous prime is 3315643421. The next prime is 3315643447. The reversal of 3315643440 is 443465133.

It is not an unprimeable number, because it can be changed into a prime (3315643447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4560357 + ... + 4561083.

Almost surely, 2^3315643440 is an apocalyptic number.

3315643440 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 3315643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320992768).

3315643440 is an abundant number, since it is smaller than the sum of its proper divisors (7326342096).

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

3315643440 is a wasteful number, since it uses less digits than its factorization.

3315643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3315643440 is about 57581.6241521547. The cubic root of 3315643440 is about 1491.1543747016.

The spelling of 3315643440 in words is "three billion, three hundred fifteen million, six hundred forty-three thousand, four hundred forty".