3749659760 has 160 divisors (see below), whose sum is σ = 10957012992. Its totient is φ = 1159280640.

The previous prime is 3749659759. The next prime is 3749659787. The reversal of 3749659760 is 679569473.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 3749659696 and 3749659705.

It is a congruent number.

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, 779924 + ... + 784716.

Almost surely, 2^3749659760 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 3749659760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478506496).

3749659760 is an abundant number, since it is smaller than the sum of its proper divisors (7207353232).

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

3749659760 is a wasteful number, since it uses less digits than its factorization.

3749659760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 56.

The square root of 3749659760 is about 61234.4654585961. The cubic root of 3749659760 is about 1553.5692646763.

The spelling of 3749659760 in words is "three billion, seven hundred forty-nine million, six hundred fifty-nine thousand, seven hundred sixty".