3020506416 has 160 divisors (see below), whose sum is σ = 9336902400. Its totient is φ = 931415040.

The previous prime is 3020506409. The next prime is 3020506429. The reversal of 3020506416 is 6146050203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3020506416.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 429811 + ... + 436781.

It is an arithmetic number, because the mean of its divisors is an integer number (58355640).

Almost surely, 2^3020506416 is an apocalyptic number.

3020506416 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 3020506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668451200).

3020506416 is an abundant number, since it is smaller than the sum of its proper divisors (6316395984).

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

3020506416 is a wasteful number, since it uses less digits than its factorization.

3020506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7052 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3020506416 is about 54959.1340543135. The cubic root of 3020506416 is about 1445.5282633299.

Adding to 3020506416 its reverse (6146050203), we get a palindrome (9166556619).

The spelling of 3020506416 in words is "three billion, twenty million, five hundred six thousand, four hundred sixteen".