3262445061120 has 2464 divisors, whose sum is σ = 14382178767360. Its totient is φ = 693703802880.

The previous prime is 3262445061077. The next prime is 3262445061121. The reversal of 3262445061120 is 211605442623.

3262445061120 is a `hidden beast` number, since 3 + 2 + 6 + 24 + 4 + 506 + 1 + 120 = 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 (3262445061121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 36656686036 + ... + 36656686124.

Almost surely, 2^{3262445061120} is an apocalyptic number.

3262445061120 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 3262445061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191089383680).

3262445061120 is an abundant number, since it is smaller than the sum of its proper divisors (11119733706240).

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

3262445061120 is an equidigital number, since it uses as much as digits as its factorization.

3262445061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3262445061120 in words is "three trillion, two hundred sixty-two billion, four hundred forty-five million, sixty-one thousand, one hundred twenty".