3264356229120 has 1344 divisors, whose sum is σ = 13743004060800. Its totient is φ = 732773744640.

The previous prime is 3264356229109. The next prime is 3264356229131. The reversal of 3264356229120 is 219226534623.

3264356229120 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 3 + 5 + 622 + 9 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3264356229109) and next prime (3264356229131).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3197214210 + ... + 3197215230.

It is an arithmetic number, because the mean of its divisors is an integer number (10225449450).

Almost surely, 2^{3264356229120} is an apocalyptic number.

3264356229120 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 3264356229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871502030400).

3264356229120 is an abundant number, since it is smaller than the sum of its proper divisors (10478647831680).

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

3264356229120 is a wasteful number, since it uses less digits than its factorization.

3264356229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3264356229120 in words is "three trillion, two hundred sixty-four billion, three hundred fifty-six million, two hundred twenty-nine thousand, one hundred twenty".