3201497732160 has 1120 divisors, whose sum is σ = 14754267306240. Its totient is φ = 639920259072.

The previous prime is 3201497732137. The next prime is 3201497732203. The reversal of 3201497732160 is 612377941023.

3201497732160 is a `hidden beast` number, since 32 + 0 + 1 + 497 + 73 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44779962 + ... + 44851398.

It is an arithmetic number, because the mean of its divisors is an integer number (13173452952).

Almost surely, 2^{3201497732160} is an apocalyptic number.

3201497732160 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 3201497732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377133653120).

3201497732160 is an abundant number, since it is smaller than the sum of its proper divisors (11552769574080).

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

3201497732160 is a wasteful number, since it uses less digits than its factorization.

3201497732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71505 (or 71486 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 3201497732160 in words is "three trillion, two hundred one billion, four hundred ninety-seven million, seven hundred thirty-two thousand, one hundred sixty".