3719208960 has 560 divisors, whose sum is σ = 14272869600. Its totient is φ = 923664384.

The previous prime is 3719208959. The next prime is 3719208967. The reversal of 3719208960 is 698029173.

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

It is not an unprimeable number, because it can be changed into a prime (3719208967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63037411 + ... + 63037469.

Almost surely, 2^3719208960 is an apocalyptic number.

3719208960 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 3719208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136434800).

3719208960 is an abundant number, since it is smaller than the sum of its proper divisors (10553660640).

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

3719208960 is an equidigital number, since it uses as much as digits as its factorization.

3719208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3719208960 is about 60985.3175772661. The cubic root of 3719208960 is about 1549.3523426684.

The spelling of 3719208960 in words is "three billion, seven hundred nineteen million, two hundred eight thousand, nine hundred sixty".