3758082048 has 576 divisors, whose sum is σ = 13818168000. Its totient is φ = 1003290624.

The previous prime is 3758082037. The next prime is 3758082149. The reversal of 3758082048 is 8402808573.

3758082048 is a `hidden beast` number, since 3 + 7 + 580 + 8 + 20 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3758081994 and 3758082012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51480540 + ... + 51480612.

It is an arithmetic number, because the mean of its divisors is an integer number (23989875).

Almost surely, 2^3758082048 is an apocalyptic number.

3758082048 is a gapful number since it is divisible by the number (38) 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 3758082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909084000).

3758082048 is an abundant number, since it is smaller than the sum of its proper divisors (10060085952).

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

3758082048 is a wasteful number, since it uses less digits than its factorization.

3758082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3758082048 is about 61303.1976979994. The cubic root of 3758082048 is about 1554.7315766519.

The spelling of 3758082048 in words is "three billion, seven hundred fifty-eight million, eighty-two thousand, forty-eight".