3342643200 has 780 divisors, whose sum is σ = 13764549568. Its totient is φ = 796262400.

The previous prime is 3342643193. The next prime is 3342643217. The reversal of 3342643200 is 23462433.

It is a happy number.

3342643200 is a `hidden beast` number, since 33 + 426 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (780).

It is a super-2 number, since 2×3342643200² = 22346527125012480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107827185 + ... + 107827215.

Almost surely, 2^3342643200 is an apocalyptic number.

3342643200 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 3342643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882274784).

3342643200 is an abundant number, since it is smaller than the sum of its proper divisors (10421906368).

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

3342643200 is a wasteful number, since it uses less digits than its factorization.

3342643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3342643200 is about 57815.5965116680. The cubic root of 3342643200 is about 1495.1909988147.

The spelling of 3342643200 in words is "three billion, three hundred forty-two million, six hundred forty-three thousand, two hundred".