3364200000 has 672 divisors, whose sum is σ = 14286585600. Its totient is φ = 760320000.

The previous prime is 3364199999. The next prime is 3364200043. The reversal of 3364200000 is 24633.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3364200000² = 22635683280000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37799956 + ... + 37800044.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 2^3364200000 is an apocalyptic number.

3364200000 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 3364200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143292800).

3364200000 is an abundant number, since it is smaller than the sum of its proper divisors (10922385600).

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

3364200000 is an frugal number, since it uses more digits than its factorization.

3364200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3364200000 is about 58001.7241123055. The cubic root of 3364200000 is about 1498.3982902928.

Adding to 3364200000 its reverse (24633), we get a palindrome (3364224633).

The spelling of 3364200000 in words is "three billion, three hundred sixty-four million, two hundred thousand".