3320400020 has 96 divisors (see below), whose sum is σ = 8103137280. Its totient is φ = 1119381120.

The previous prime is 3320399989. The next prime is 3320400029. The reversal of 3320400020 is 200040233.

It is a super-2 number, since 2×3320400020² = 22050112585632000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3320399968 and 3320400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320400029) 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, 3660407 + ... + 3661313.

It is an arithmetic number, because the mean of its divisors is an integer number (84407680).

Almost surely, 2^3320400020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051568640).

3320400020 is an abundant number, since it is smaller than the sum of its proper divisors (4782737260).

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

3320400020 is a wasteful number, since it uses less digits than its factorization.

3320400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3320400020 is about 57622.9122832229. The cubic root of 3320400020 is about 1491.8670977029.

Adding to 3320400020 its reverse (200040233), we get a palindrome (3520440253).

The spelling of 3320400020 in words is "three billion, three hundred twenty million, four hundred thousand, twenty".