3320411040 has 144 divisors (see below), whose sum is σ = 11351340000. Its totient is φ = 883846656.

The previous prime is 3320411009. The next prime is 3320411051. The reversal of 3320411040 is 401140233.

3320411040 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 tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3320411040² = 22050258949107763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947211 + ... + 950709.

It is an arithmetic number, because the mean of its divisors is an integer number (78828750).

Almost surely, 2^3320411040 is an apocalyptic number.

3320411040 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 3320411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675670000).

3320411040 is an abundant number, since it is smaller than the sum of its proper divisors (8030928960).

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

3320411040 is a wasteful number, since it uses less digits than its factorization.

3320411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3320411040 is about 57623.0079048291. The cubic root of 3320411040 is about 1491.8687481423.

Adding to 3320411040 its reverse (401140233), we get a palindrome (3721551273).

It can be divided in two parts, 33204 and 11040, that added together give a palindrome (44244).

The spelling of 3320411040 in words is "three billion, three hundred twenty million, four hundred eleven thousand, forty".