3205146420 has 216 divisors, whose sum is σ = 11485498752. Its totient is φ = 708704640.

The previous prime is 3205146419. The next prime is 3205146421. The reversal of 3205146420 is 246415023.

3205146420 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 14 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3205146419) and next prime (3205146421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205146421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1209537 + ... + 1212183.

Almost surely, 2^3205146420 is an apocalyptic number.

3205146420 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 3205146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742749376).

3205146420 is an abundant number, since it is smaller than the sum of its proper divisors (8280352332).

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

3205146420 is a wasteful number, since it uses less digits than its factorization.

3205146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3205146420 is about 56614.0125763931. The cubic root of 3205146420 is about 1474.4021585606.

The spelling of 3205146420 in words is "three billion, two hundred five million, one hundred forty-six thousand, four hundred twenty".