3364676800 has 84 divisors (see below), whose sum is σ = 8292613336. Its totient is φ = 1343692800.

The previous prime is 3364676797. The next prime is 3364676801. The reversal of 3364676800 is 86764633.

It is a super-2 number, since 2×3364676800² = 22642099936916480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3364676801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1296304 + ... + 1298896.

Almost surely, 2^3364676800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146306668).

3364676800 is an abundant number, since it is smaller than the sum of its proper divisors (4927936536).

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

3364676800 is a wasteful number, since it uses less digits than its factorization.

3364676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The square root of 3364676800 is about 58005.8341893296. The cubic root of 3364676800 is about 1498.4690750812.

The spelling of 3364676800 in words is "three billion, three hundred sixty-four million, six hundred seventy-six thousand, eight hundred".