3361948800 has 384 divisors, whose sum is σ = 12926256000. Its totient is φ = 767692800.

The previous prime is 3361948763. The next prime is 3361948813. The reversal of 3361948800 is 88491633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3361948800² = 22605399467642880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3292290 + ... + 3293310.

It is an arithmetic number, because the mean of its divisors is an integer number (33662125).

Almost surely, 2^3361948800 is an apocalyptic number.

3361948800 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 3361948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463128000).

3361948800 is an abundant number, since it is smaller than the sum of its proper divisors (9564307200).

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

3361948800 is a wasteful number, since it uses less digits than its factorization.

3361948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3361948800 is about 57982.3145450404. The cubic root of 3361948800 is about 1498.0639912106.

The spelling of 3361948800 in words is "three billion, three hundred sixty-one million, nine hundred forty-eight thousand, eight hundred".