3375648137680 has 640 divisors, whose sum is σ = 10268842752000. Its totient is φ = 1024192512000.

The previous prime is 3375648137627. The next prime is 3375648137681. The reversal of 3375648137680 is 867318465733.

It is a happy number.

It is a super-2 number, since 2×3375648137680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375648137681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1562075800 + ... + 1562077960.

It is an arithmetic number, because the mean of its divisors is an integer number (16045066800).

Almost surely, 2^{3375648137680} 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 3375648137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134421376000).

3375648137680 is an abundant number, since it is smaller than the sum of its proper divisors (6893194614320).

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

3375648137680 is a wasteful number, since it uses less digits than its factorization.

3375648137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 3375648137680 in words is "three trillion, three hundred seventy-five billion, six hundred forty-eight million, one hundred thirty-seven thousand, six hundred eighty".