3335961600 has 198 divisors, whose sum is σ = 11945145680. Its totient is φ = 889528320.

The previous prime is 3335961599. The next prime is 3335961619. The reversal of 3335961600 is 61695333.

3335961600 is a `hidden beast` number, since 3 + 3 + 3 + 596 + 1 + 60 + 0 = 666.

It is a super-2 number, since 2×3335961600² = 22257279593349120000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223161 + ... + 237639.

Almost surely, 2^3335961600 is an apocalyptic number.

3335961600 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 3335961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972572840).

3335961600 is an abundant number, since it is smaller than the sum of its proper divisors (8609184080).

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

3335961600 is a wasteful number, since it uses less digits than its factorization.

3335961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14515 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3335961600 is about 57757.7838910047. The cubic root of 3335961600 is about 1494.1940899328.

The spelling of 3335961600 in words is "three billion, three hundred thirty-five million, nine hundred sixty-one thousand, six hundred".