3785446320 has 160 divisors (see below), whose sum is σ = 12137169600. Its totient is φ = 975237120.

The previous prime is 3785446303. The next prime is 3785446337. The reversal of 3785446320 is 236445873.

It is an interprime number because it is at equal distance from previous prime (3785446303) and next prime (3785446337).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321690 + ... + 1324550.

It is an arithmetic number, because the mean of its divisors is an integer number (75857310).

Almost surely, 2^3785446320 is an apocalyptic number.

3785446320 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 3785446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068584800).

3785446320 is an abundant number, since it is smaller than the sum of its proper divisors (8351723280).

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

3785446320 is a wasteful number, since it uses less digits than its factorization.

3785446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3785446320 is about 61525.9808536199. The cubic root of 3785446320 is about 1558.4960192634.

The spelling of 3785446320 in words is "three billion, seven hundred eighty-five million, four hundred forty-six thousand, three hundred twenty".