3320040400 has 30 divisors (see below), whose sum is σ = 7976398022. Its totient is φ = 1328016000.

The previous prime is 3320040371. The next prime is 3320040401. The reversal of 3320040400 is 40400233.

It can be written as a sum of positive squares in 3 ways, for example, as 157552704 + 3162487696 = 12552^2 + 56236^2 .

It is a super-2 number, since 2×3320040400² = 22045336515264320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4149651 + ... + 4150450.

Almost surely, 2^3320040400 is an apocalyptic number.

It is an amenable number.

3320040400 is an abundant number, since it is smaller than the sum of its proper divisors (4656357622).

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

3320040400 is a wasteful number, since it uses less digits than its factorization.

3320040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300119 (or 8300108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3320040400 is about 57619.7917386032. The cubic root of 3320040400 is about 1491.8132362592.

Adding to 3320040400 its reverse (40400233), we get a palindrome (3360440633).

The spelling of 3320040400 in words is "three billion, three hundred twenty million, forty thousand, four hundred".