3347993040000 has 1280 divisors, whose sum is σ = 13627937664000. Its totient is φ = 710940672000.

The previous prime is 3347993039999. The next prime is 3347993040001. The reversal of 3347993040000 is 403997433.

It is an interprime number because it is at equal distance from previous prime (3347993039999) and next prime (3347993040001).

It is a super-2 number, since 2×3347993040000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3347993040001) 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 159 ways as a sum of consecutive naturals, for example, 1691759011 + ... + 1691760989.

It is an arithmetic number, because the mean of its divisors is an integer number (10646826300).

Almost surely, 2^{3347993040000} is an apocalyptic number.

3347993040000 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 3347993040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813968832000).

3347993040000 is an abundant number, since it is smaller than the sum of its proper divisors (10279944624000).

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

3347993040000 is a wasteful number, since it uses less digits than its factorization.

3347993040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The spelling of 3347993040000 in words is "three trillion, three hundred forty-seven billion, nine hundred ninety-three million, forty thousand".