3758096160 has 864 divisors, whose sum is σ = 17081496432. Its totient is φ = 743178240.

The previous prime is 3758096149. The next prime is 3758096197. The reversal of 3758096160 is 616908573.

It is a happy number.

3758096160 is a `hidden beast` number, since 3 + 7 + 580 + 9 + 6 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1930020624 + 1828075536 = 43932^2 + 42756^2 .

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 143 ways as a sum of consecutive naturals, for example, 15593640 + ... + 15593880.

Almost surely, 2^3758096160 is an apocalyptic number.

3758096160 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 3758096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540748216).

3758096160 is an abundant number, since it is smaller than the sum of its proper divisors (13323400272).

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

3758096160 is a wasteful number, since it uses less digits than its factorization.

3758096160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3758096160 is about 61303.3127979231. The cubic root of 3758096160 is about 1554.7335227106.

The spelling of 3758096160 in words is "three billion, seven hundred fifty-eight million, ninety-six thousand, one hundred sixty".