3340140076800 has 648 divisors, whose sum is σ = 12577952709504. Its totient is φ = 843979530240.

The previous prime is 3340140076753. The next prime is 3340140076807. The reversal of 3340140076800 is 86700410433.

It is a super-2 number, since 2×3340140076800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340140076807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141741819 + ... + 141765381.

It is an arithmetic number, because the mean of its divisors is an integer number (19410420848).

Almost surely, 2^{3340140076800} is an apocalyptic number.

3340140076800 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 3340140076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288976354752).

3340140076800 is an abundant number, since it is smaller than the sum of its proper divisors (9237812632704).

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

3340140076800 is a wasteful number, since it uses less digits than its factorization.

3340140076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23725 (or 23703 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3340140076800 in words is "three trillion, three hundred forty billion, one hundred forty million, seventy-six thousand, eight hundred".