3360616800 has 144 divisors (see below), whose sum is σ = 10981297152. Its totient is φ = 892684800.

The previous prime is 3360616799. The next prime is 3360616807. The reversal of 3360616800 is 86160633.

It is a super-2 number, since 2×3360616800² = 22587490552884480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360616807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647817 + ... + 652983.

It is an arithmetic number, because the mean of its divisors is an integer number (76259008).

Almost surely, 2^3360616800 is an apocalyptic number.

3360616800 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 3360616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490648576).

3360616800 is an abundant number, since it is smaller than the sum of its proper divisors (7620680352).

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

3360616800 is a wasteful number, since it uses less digits than its factorization.

3360616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3360616800 is about 57970.8271460741. The cubic root of 3360616800 is about 1497.8661213697.

The spelling of 3360616800 in words is "three billion, three hundred sixty million, six hundred sixteen thousand, eight hundred".