3814297600 has 117 divisors (see below), whose sum is σ = 9507564003. Its totient is φ = 1517813760.

The previous prime is 3814297589. The next prime is 3814297603. The reversal of 3814297600 is 67924183.

The square root of 3814297600 is 61760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 613453824 + 3200843776 = 24768^2 + 56576^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3814297603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19763104 + ... + 19763296.

Almost surely, 2^3814297600 is an apocalyptic number.

3814297600 is the 61760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3814297600

3814297600 is an abundant number, since it is smaller than the sum of its proper divisors (5693266403).

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

3814297600 is an frugal number, since it uses more digits than its factorization.

3814297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The cubic root of 3814297600 is about 1562.4454304142.

The spelling of 3814297600 in words is "three billion, eight hundred fourteen million, two hundred ninety-seven thousand, six hundred".