3713451832960 has 256 divisors, whose sum is σ = 9360991411200. Its totient is φ = 1405874257920.

The previous prime is 3713451832957. The next prime is 3713451833033. The reversal of 3713451832960 is 692381543173.

It is a super-3 number, since 3×3713451832960³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3713451832898 and 3713451832907.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1984740825 + ... + 1984742695.

It is an arithmetic number, because the mean of its divisors is an integer number (36566372700).

It is a 1-persistent number, because it is pandigital, but 2⋅3713451832960 = 7426903665920 is not.

Almost surely, 2^{3713451832960} 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 3713451832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680495705600).

3713451832960 is an abundant number, since it is smaller than the sum of its proper divisors (5647539578240).

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

3713451832960 is a wasteful number, since it uses less digits than its factorization.

3713451832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 3713451832960 in words is "three trillion, seven hundred thirteen billion, four hundred fifty-one million, eight hundred thirty-two thousand, nine hundred sixty".