3363897600 has 756 divisors, whose sum is σ = 14405425216. Its totient is φ = 761425920.

The previous prime is 3363897599. The next prime is 3363897623. The reversal of 3363897600 is 67983633.

It is a happy number.

3363897600 is a `hidden beast` number, since 3 + 3 + 6 + 38 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×3363897600² = 22631614126571520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32659149 + ... + 32659251.

Almost surely, 2^3363897600 is an apocalyptic number.

3363897600 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 3363897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202712608).

3363897600 is an abundant number, since it is smaller than the sum of its proper divisors (11041527616).

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

3363897600 is an equidigital number, since it uses as much as digits as its factorization.

3363897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3363897600 is about 57999.1172346614. The cubic root of 3363897600 is about 1498.3533931186.

The spelling of 3363897600 in words is "three billion, three hundred sixty-three million, eight hundred ninety-seven thousand, six hundred".