3029204006400 has 960 divisors, whose sum is σ = 12030562494720. Its totient is φ = 662047948800.

The previous prime is 3029204006393. The next prime is 3029204006407. The reversal of 3029204006400 is 46004029203.

It is an interprime number because it is at equal distance from previous prime (3029204006393) and next prime (3029204006407).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3029204006400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029204006407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236115186 + ... + 236128014.

It is an arithmetic number, because the mean of its divisors is an integer number (12531835932).

Almost surely, 2^{3029204006400} is an apocalyptic number.

3029204006400 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 3029204006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015281247360).

3029204006400 is an abundant number, since it is smaller than the sum of its proper divisors (9001358488320).

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

3029204006400 is a wasteful number, since it uses less digits than its factorization.

3029204006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 3029204006400 in words is "three trillion, twenty-nine billion, two hundred four million, six thousand, four hundred".