3746082816 has 260 divisors, whose sum is σ = 12797225232. Its totient is φ = 1069645824.

The previous prime is 3746082779. The next prime is 3746082827. The reversal of 3746082816 is 6182806473.

3746082816 is a `hidden beast` number, since 3 + 7 + 4 + 608 + 28 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2321626 + ... + 2323238.

Almost surely, 2^3746082816 is an apocalyptic number.

3746082816 is a gapful number since it is divisible by the number (36) 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 3746082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398612616).

3746082816 is an abundant number, since it is smaller than the sum of its proper divisors (9051142416).

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

3746082816 is an equidigital number, since it uses as much as digits as its factorization.

3746082816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3746082816 is about 61205.2515393900. The cubic root of 3746082816 is about 1553.0751044437.

The spelling of 3746082816 in words is "three billion, seven hundred forty-six million, eighty-two thousand, eight hundred sixteen".