3339676800 has 288 divisors, whose sum is σ = 12118459860. Its totient is φ = 875520000.

The previous prime is 3339676799. The next prime is 3339676819. The reversal of 3339676800 is 86769333.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30206016 + 3309470784 = 5496^2 + 57528^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3339676800² = 22306882256916480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1755850 + ... + 1757750.

Almost surely, 2^3339676800 is an apocalyptic number.

3339676800 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 3339676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059229930).

3339676800 is an abundant number, since it is smaller than the sum of its proper divisors (8778783060).

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

3339676800 is a wasteful number, since it uses less digits than its factorization.

3339676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1972 counting only the distinct ones).

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

The square root of 3339676800 is about 57789.9368402493. The cubic root of 3339676800 is about 1494.7485697754.

The spelling of 3339676800 in words is "three billion, three hundred thirty-nine million, six hundred seventy-six thousand, eight hundred".