3361468500 has 288 divisors, whose sum is σ = 11736230688. Its totient is φ = 804556800.

The previous prime is 3361468489. The next prime is 3361468507. The reversal of 3361468500 is 58641633.

3361468500 is a `hidden beast` number, since 3 + 3 + 6 + 146 + 8 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2912113296 + 449355204 = 53964^2 + 21198^2 .

It is a super-2 number, since 2×3361468500² = 22598940952984500000, which contains 22 as substring.

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 (3361468507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2163724 + ... + 2165276.

It is an arithmetic number, because the mean of its divisors is an integer number (40750801).

Almost surely, 2^3361468500 is an apocalyptic number.

3361468500 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 3361468500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868115344).

3361468500 is an abundant number, since it is smaller than the sum of its proper divisors (8374762188).

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

3361468500 is a wasteful number, since it uses less digits than its factorization.

3361468500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3361468500 is about 57978.1726169427. The cubic root of 3361468500 is about 1497.9926482242.

The spelling of 3361468500 in words is "three billion, three hundred sixty-one million, four hundred sixty-eight thousand, five hundred".