3361491600 has 240 divisors, whose sum is σ = 11682377280. Its totient is φ = 822886400.

The previous prime is 3361491577. The next prime is 3361491613. The reversal of 3361491600 is 61941633.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3361491600² = 22599251553741120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834391 + ... + 838409.

It is an arithmetic number, because the mean of its divisors is an integer number (48676572).

Almost surely, 2^3361491600 is an apocalyptic number.

3361491600 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 3361491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841188640).

3361491600 is an abundant number, since it is smaller than the sum of its proper divisors (8320885680).

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

3361491600 is a wasteful number, since it uses less digits than its factorization.

3361491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3361491600 is about 57978.3718295021. The cubic root of 3361491600 is about 1497.9960796165.

The spelling of 3361491600 in words is "three billion, three hundred sixty-one million, four hundred ninety-one thousand, six hundred".