3785748480 has 624 divisors, whose sum is σ = 14720209920. Its totient is φ = 895352832.

The previous prime is 3785748469. The next prime is 3785748521. The reversal of 3785748480 is 848475873.

It is a happy number.

3785748480 is a `hidden beast` number, since 3 + 7 + 85 + 7 + 484 + 80 = 666.

It is a congruent number.

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, 80547817 + ... + 80547863.

It is an arithmetic number, because the mean of its divisors is an integer number (23590080).

Almost surely, 2^3785748480 is an apocalyptic number.

3785748480 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 3785748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360104960).

3785748480 is an abundant number, since it is smaller than the sum of its proper divisors (10934461440).

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

3785748480 is a wasteful number, since it uses less digits than its factorization.

3785748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The square root of 3785748480 is about 61528.4363526329. The cubic root of 3785748480 is about 1558.5374853230.

The spelling of 3785748480 in words is "three billion, seven hundred eighty-five million, seven hundred forty-eight thousand, four hundred eighty".