3334330490400 has 1728 divisors, whose sum is σ = 14741056512000. Its totient is φ = 690528706560.

The previous prime is 3334330490317. The next prime is 3334330490411. The reversal of 3334330490400 is 40940334333.

3334330490400 is a `hidden beast` number, since 3 + 3 + 343 + 304 + 9 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×3334330490400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13951173481 + ... + 13951173719.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704000).

Almost surely, 2^{3334330490400} is an apocalyptic number.

3334330490400 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 3334330490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370528256000).

3334330490400 is an abundant number, since it is smaller than the sum of its proper divisors (11406726021600).

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

3334330490400 is a wasteful number, since it uses less digits than its factorization.

3334330490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The spelling of 3334330490400 in words is "three trillion, three hundred thirty-four billion, three hundred thirty million, four hundred ninety thousand, four hundred".