3338758550400 has 1152 divisors, whose sum is σ = 13813825858560. Its totient is φ = 702535680000.

The previous prime is 3338758550381. The next prime is 3338758550411. The reversal of 3338758550400 is 40558578333.

It is a super-2 number, since 2×3338758550400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 4445750025 + ... + 4445750775.

It is an arithmetic number, because the mean of its divisors is an integer number (11991168280).

Almost surely, 2^{3338758550400} is an apocalyptic number.

3338758550400 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 3338758550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906912929280).

3338758550400 is an abundant number, since it is smaller than the sum of its proper divisors (10475067308160).

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

3338758550400 is a wasteful number, since it uses less digits than its factorization.

3338758550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 3338758550400 in words is "three trillion, three hundred thirty-eight billion, seven hundred fifty-eight million, five hundred fifty thousand, four hundred".