3440920400 has 30 divisors (see below), whose sum is σ = 8266812222. Its totient is φ = 1376368000.

The previous prime is 3440920381. The next prime is 3440920421. The reversal of 3440920400 is 40290443.

It can be written as a sum of positive squares in 3 ways, for example, as 164044864 + 3276875536 = 12808^2 + 57244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3440920400.

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 5 ways as a sum of consecutive naturals, for example, 4300751 + ... + 4301550.

Almost surely, 2^3440920400 is an apocalyptic number.

It is an amenable number.

3440920400 is an abundant number, since it is smaller than the sum of its proper divisors (4825891822).

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

3440920400 is a wasteful number, since it uses less digits than its factorization.

3440920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602319 (or 8602308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3440920400 is about 58659.3590145682. The cubic root of 3440920400 is about 1509.7030832951.

The spelling of 3440920400 in words is "three billion, four hundred forty million, nine hundred twenty thousand, four hundred".