3381648600 has 192 divisors, whose sum is σ = 11933879040. Its totient is φ = 784115200.

The previous prime is 3381648587. The next prime is 3381648601. The reversal of 3381648600 is 68461833.

It is a super-2 number, since 2×3381648600² = 22871094507763920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381648601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140662 + ... + 162938.

It is an arithmetic number, because the mean of its divisors is an integer number (62155620).

Almost surely, 2^3381648600 is an apocalyptic number.

3381648600 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 3381648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966939520).

3381648600 is an abundant number, since it is smaller than the sum of its proper divisors (8552230440).

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

3381648600 is a wasteful number, since it uses less digits than its factorization.

3381648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22330 (or 22321 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3381648600 is about 58151.9440775629. The cubic root of 3381648600 is about 1500.9843316972.

The spelling of 3381648600 in words is "three billion, three hundred eighty-one million, six hundred forty-eight thousand, six hundred".