3242107261008 has 1600 divisors, whose sum is σ = 12705483225600. Its totient is φ = 772533780480.

The previous prime is 3242107260971. The next prime is 3242107261037. The reversal of 3242107261008 is 8001627012423.

It is a happy number.

3242107261008 is a `hidden beast` number, since 3 + 24 + 2 + 10 + 7 + 2 + 610 + 0 + 8 = 666.

It is a super-2 number, since 2×3242107261008² (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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16457397166 + ... + 16457397362.

It is an arithmetic number, because the mean of its divisors is an integer number (7940927016).

Almost surely, 2^{3242107261008} 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 3242107261008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352741612800).

3242107261008 is an abundant number, since it is smaller than the sum of its proper divisors (9463375964592).

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

3242107261008 is a wasteful number, since it uses less digits than its factorization.

3242107261008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3242107261008 in words is "three trillion, two hundred forty-two billion, one hundred seven million, two hundred sixty-one thousand, eight".