3383640099840 has 2112 divisors, whose sum is σ = 15080142228480. Its totient is φ = 625331404800.

The previous prime is 3383640099773. The next prime is 3383640099943. The reversal of 3383640099840 is 489900463833.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×3383640099840² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14775720846 + ... + 14775721074.

Almost surely, 2^{3383640099840} is an apocalyptic number.

3383640099840 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 3383640099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540071114240).

3383640099840 is an abundant number, since it is smaller than the sum of its proper divisors (11696502128640).

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

3383640099840 is a wasteful number, since it uses less digits than its factorization.

3383640099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 3383640099840 in words is "three trillion, three hundred eighty-three billion, six hundred forty million, ninety-nine thousand, eight hundred forty".