3341987654400 has 648 divisors, whose sum is σ = 12530149894080. Its totient is φ = 848647618560.

The previous prime is 3341987654351. The next prime is 3341987654407. The reversal of 3341987654400 is 44567891433.

3341987654400 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 98 + 7 + 6 + 544 + 0 + 0 = 666.

It is a super-2 number, since 2×3341987654400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3341987654407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121925497 + ... + 121952903.

Almost surely, 2^{3341987654400} is an apocalyptic number.

3341987654400 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 3341987654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265074947040).

3341987654400 is an abundant number, since it is smaller than the sum of its proper divisors (9188162239680).

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

3341987654400 is a wasteful number, since it uses less digits than its factorization.

3341987654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27541 (or 27519 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3341987654400 in words is "three trillion, three hundred forty-one billion, nine hundred eighty-seven million, six hundred fifty-four thousand, four hundred".