3214394624 has 144 divisors (see below), whose sum is σ = 7713957888. Its totient is φ = 1307006976.

The previous prime is 3214394593. The next prime is 3214394627. The reversal of 3214394624 is 4264934123.

3214394624 = 4388² + 4389² + ... + 4548².

It is a happy number.

3214394624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214394627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6882839 + ... + 6883305.

It is an arithmetic number, because the mean of its divisors is an integer number (53569152).

Almost surely, 2^3214394624 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 3214394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856978944).

3214394624 is an abundant number, since it is smaller than the sum of its proper divisors (4499563264).

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

3214394624 is a wasteful number, since it uses less digits than its factorization.

3214394624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The square root of 3214394624 is about 56695.6314366460. The cubic root of 3214394624 is about 1475.8188882342.

The spelling of 3214394624 in words is "three billion, two hundred fourteen million, three hundred ninety-four thousand, six hundred twenty-four".