3339244621440 has 1280 divisors, whose sum is σ = 14722201105920. Its totient is φ = 702375100416.

The previous prime is 3339244621439. The next prime is 3339244621463. The reversal of 3339244621440 is 441264429333.

3339244621440 is a `hidden beast` number, since 3 + 3 + 392 + 4 + 4 + 6 + 214 + 40 = 666.

It is a super-2 number, since 2×3339244621440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1872822789 + ... + 1872824571.

It is an arithmetic number, because the mean of its divisors is an integer number (11501719614).

Almost surely, 2^{3339244621440} is an apocalyptic number.

3339244621440 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 3339244621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361100552960).

3339244621440 is an abundant number, since it is smaller than the sum of its proper divisors (11382956484480).

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

3339244621440 is a wasteful number, since it uses less digits than its factorization.

3339244621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3339244621440 in words is "three trillion, three hundred thirty-nine billion, two hundred forty-four million, six hundred twenty-one thousand, four hundred forty".