3218740416 has 140 divisors (see below), whose sum is σ = 9849632320. Its totient is φ = 1038251520.

The previous prime is 3218740411. The next prime is 3218740471. The reversal of 3218740416 is 6140478123.

3218740416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3218740411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150690 + ... + 170718.

Almost surely, 2^3218740416 is an apocalyptic number.

3218740416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3218740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924816160).

3218740416 is an abundant number, since it is smaller than the sum of its proper divisors (6630891904).

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

3218740416 is a wasteful number, since it uses less digits than its factorization.

3218740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20084 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3218740416 is about 56733.9441251884. The cubic root of 3218740416 is about 1476.4836804669.

The spelling of 3218740416 in words is "three billion, two hundred eighteen million, seven hundred forty thousand, four hundred sixteen".