3338006630400 has 1872 divisors, whose sum is σ = 14161332616704. Its totient is φ = 772056023040.

The previous prime is 3338006630393. The next prime is 3338006630507. The reversal of 3338006630400 is 40366008333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×3338006630400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5499186897 + ... + 5499187503.

It is an arithmetic number, because the mean of its divisors is an integer number (7564814432).

Almost surely, 2^{3338006630400} is an apocalyptic number.

3338006630400 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 3338006630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080666308352).

3338006630400 is an abundant number, since it is smaller than the sum of its proper divisors (10823325986304).

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

3338006630400 is a wasteful number, since it uses less digits than its factorization.

3338006630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 3338006630400 in words is "three trillion, three hundred thirty-eight billion, six million, six hundred thirty thousand, four hundred".