3361304640 has 448 divisors, whose sum is σ = 11797954560. Its totient is φ = 808304640.

The previous prime is 3361304633. The next prime is 3361304647. The reversal of 3361304640 is 464031633.

It is an interprime number because it is at equal distance from previous prime (3361304633) and next prime (3361304647).

It is a super-2 number, since 2×3361304640² = 22596737765771059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3361304598 and 3361304607.

It is not an unprimeable number, because it can be changed into a prime (3361304647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42548121 + ... + 42548199.

It is an arithmetic number, because the mean of its divisors is an integer number (26334720).

Almost surely, 2^3361304640 is an apocalyptic number.

3361304640 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 3361304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898977280).

3361304640 is an abundant number, since it is smaller than the sum of its proper divisors (8436649920).

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

3361304640 is a wasteful number, since it uses less digits than its factorization.

3361304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3361304640 is about 57976.7594817096. The cubic root of 3361304640 is about 1497.9683071697.

The spelling of 3361304640 in words is "three billion, three hundred sixty-one million, three hundred four thousand, six hundred forty".