3218295420 has 144 divisors (see below), whose sum is σ = 10078024320. Its totient is φ = 830890368.

The previous prime is 3218295419. The next prime is 3218295427. The reversal of 3218295420 is 245928123.

It is a happy number.

3218295420 is a `hidden beast` number, since 32 + 1 + 82 + 9 + 542 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3218295427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709279 + ... + 713801.

It is an arithmetic number, because the mean of its divisors is an integer number (69986280).

Almost surely, 2^3218295420 is an apocalyptic number.

3218295420 is a gapful number since it is divisible by the number (30) 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 3218295420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039012160).

3218295420 is an abundant number, since it is smaller than the sum of its proper divisors (6859728900).

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

3218295420 is a wasteful number, since it uses less digits than its factorization.

3218295420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3218295420 is about 56730.0222104663. The cubic root of 3218295420 is about 1476.4156352558.

The spelling of 3218295420 in words is "three billion, two hundred eighteen million, two hundred ninety-five thousand, four hundred twenty".