3336400000 has 192 divisors, whose sum is σ = 8765064000. Its totient is φ = 1261440000.

The previous prime is 3336399973. The next prime is 3336400003. The reversal of 3336400000 is 46333.

It is a happy number.

It is a super-2 number, since 2×3336400000² = 22263129920000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336400003) 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, 7599781 + ... + 7600219.

It is an arithmetic number, because the mean of its divisors is an integer number (45651375).

Almost surely, 2^3336400000 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 3336400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382532000).

3336400000 is an abundant number, since it is smaller than the sum of its proper divisors (5428664000).

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

3336400000 is an frugal number, since it uses more digits than its factorization.

3336400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3336400000 is about 57761.5789257877. The cubic root of 3336400000 is about 1494.2595409256.

Adding to 3336400000 its reverse (46333), we get a palindrome (3336446333).

The spelling of 3336400000 in words is "three billion, three hundred thirty-six million, four hundred thousand".