3301197120 has 560 divisors, whose sum is σ = 12903116688. Its totient is φ = 796262400.

The previous prime is 3301197103. The next prime is 3301197121. The reversal of 3301197120 is 217911033.

It can be written as a sum of positive squares in 8 ways, for example, as 5184 + 3301191936 = 72^2 + 57456^2 .

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 (3301197121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32685070 + ... + 32685170.

Almost surely, 2^3301197120 is an apocalyptic number.

3301197120 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 3301197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451558344).

3301197120 is an abundant number, since it is smaller than the sum of its proper divisors (9601919568).

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

3301197120 is a wasteful number, since it uses less digits than its factorization.

3301197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 3301197120 is about 57456.0451127642. The cubic root of 3301197120 is about 1488.9855593611.

The spelling of 3301197120 in words is "three billion, three hundred one million, one hundred ninety-seven thousand, one hundred twenty".