3220461504 has 336 divisors, whose sum is σ = 10927189728. Its totient is φ = 931627008.

The previous prime is 3220461493. The next prime is 3220461509. The reversal of 3220461504 is 4051640223.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220461509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436524 + ... + 3437460.

It is an arithmetic number, because the mean of its divisors is an integer number (32521398).

Almost surely, 2^3220461504 is an apocalyptic number.

3220461504 is a gapful number since it is divisible by the number (34) 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 3220461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463594864).

3220461504 is an abundant number, since it is smaller than the sum of its proper divisors (7706728224).

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

3220461504 is a wasteful number, since it uses less digits than its factorization.

3220461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 972 counting only the distinct ones).

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

The square root of 3220461504 is about 56749.1101604245. The cubic root of 3220461504 is about 1476.7467963885.

The spelling of 3220461504 in words is "three billion, two hundred twenty million, four hundred sixty-one thousand, five hundred four".