3341494800 has 360 divisors, whose sum is σ = 13398892416. Its totient is φ = 755343360.

The previous prime is 3341494799. The next prime is 3341494843. The reversal of 3341494800 is 84941433.

3341494800 is a `hidden beast` number, since 3 + 34 + 149 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3341494800² = 22331174996854080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2443717 + ... + 2445083.

Almost surely, 2^3341494800 is an apocalyptic number.

3341494800 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 3341494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699446208).

3341494800 is an abundant number, since it is smaller than the sum of its proper divisors (10057397616).

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

3341494800 is a wasteful number, since it uses less digits than its factorization.

3341494800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3341494800 is about 57805.6640823371. The cubic root of 3341494800 is about 1495.0197497046.

The spelling of 3341494800 in words is "three billion, three hundred forty-one million, four hundred ninety-four thousand, eight hundred".