3801345309440 has 288 divisors, whose sum is σ = 11307243171840. Its totient is φ = 1194891264000.

The previous prime is 3801345309407. The next prime is 3801345309449. The reversal of 3801345309440 is 449035431083.

It is a super-2 number, since 2×3801345309440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3801345309391 and 3801345309400.

It is not an unprimeable number, because it can be changed into a prime (3801345309449) 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 31 ways as a sum of consecutive naturals, for example, 4917290 + ... + 5637590.

Almost surely, 2^{3801345309440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801345309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653621585920).

3801345309440 is an abundant number, since it is smaller than the sum of its proper divisors (7505897862400).

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

3801345309440 is a wasteful number, since it uses less digits than its factorization.

3801345309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720379 (or 720365 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 3801345309440 in words is "three trillion, eight hundred one billion, three hundred forty-five million, three hundred nine thousand, four hundred forty".