3293240400 has 90 divisors (see below), whose sum is σ = 11428471470. Its totient is φ = 878196480.

The previous prime is 3293240371. The next prime is 3293240443. The reversal of 3293240400 is 40423923.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 55175184 + 3238065216 = 7428^2 + 56904^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 453795 + ... + 460994.

Almost surely, 2^3293240400 is an apocalyptic number.

3293240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3293240400 is an abundant number, since it is smaller than the sum of its proper divisors (8135231070).

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

3293240400 is a wasteful number, since it uses less digits than its factorization.

3293240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914813 (or 914799 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3293240400 is about 57386.7615395746. The cubic root of 3293240400 is about 1487.7883196974.

The spelling of 3293240400 in words is "three billion, two hundred ninety-three million, two hundred forty thousand, four hundred".