3201351690240 has 768 divisors, whose sum is σ = 12649202092800. Its totient is φ = 761403801600.

The previous prime is 3201351690211. The next prime is 3201351690241. The reversal of 3201351690240 is 420961531023.

3201351690240 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 351 + 69 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3201351690240² (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 junction number, because it is equal to n+sod(n) for n = 3201351690195 and 3201351690204.

It is not an unprimeable number, because it can be changed into a prime (3201351690241) 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 63 ways as a sum of consecutive naturals, for example, 161177910 + ... + 161197770.

It is an arithmetic number, because the mean of its divisors is an integer number (16470315225).

Almost surely, 2^{3201351690240} is an apocalyptic number.

3201351690240 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 3201351690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324601046400).

3201351690240 is an abundant number, since it is smaller than the sum of its proper divisors (9447850402560).

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

3201351690240 is a wasteful number, since it uses less digits than its factorization.

3201351690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19961 (or 19935 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3201351690240 in words is "three trillion, two hundred one billion, three hundred fifty-one million, six hundred ninety thousand, two hundred forty".