3301291620 has 192 divisors, whose sum is σ = 11234764800. Its totient is φ = 798145920.

The previous prime is 3301291619. The next prime is 3301291621. The reversal of 3301291620 is 261921033.

3301291620 is a `hidden beast` number, since 3 + 30 + 1 + 2 + 9 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (3301291619) and next prime (3301291621).

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

It is not an unprimeable number, because it can be changed into a prime (3301291621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3842751 + ... + 3843609.

It is an arithmetic number, because the mean of its divisors is an integer number (58514400).

Almost surely, 2^3301291620 is an apocalyptic number.

3301291620 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 3301291620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617382400).

3301291620 is an abundant number, since it is smaller than the sum of its proper divisors (7933473180).

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

3301291620 is a wasteful number, since it uses less digits than its factorization.

3301291620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3301291620 is about 57456.8674746544. The cubic root of 3301291620 is about 1488.9997671154. Note that the first 3 decimals are identical.

The spelling of 3301291620 in words is "three billion, three hundred one million, two hundred ninety-one thousand, six hundred twenty".