3226042080 has 240 divisors, whose sum is σ = 11445477120. Its totient is φ = 855733248.

The previous prime is 3226042051. The next prime is 3226042103. The reversal of 3226042080 is 802406223.

3226042080 is a `hidden beast` number, since 32 + 2 + 604 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2967297 + ... + 2968383.

It is an arithmetic number, because the mean of its divisors is an integer number (47689488).

Almost surely, 2^3226042080 is an apocalyptic number.

3226042080 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 3226042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722738560).

3226042080 is an abundant number, since it is smaller than the sum of its proper divisors (8219435040).

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

3226042080 is a wasteful number, since it uses less digits than its factorization.

3226042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3226042080 is about 56798.2577197576. The cubic root of 3226042080 is about 1477.5992976115.

The spelling of 3226042080 in words is "three billion, two hundred twenty-six million, forty-two thousand, eighty".