3785432704 has 64 divisors (see below), whose sum is σ = 8200879560. Its totient is φ = 1733197824.

The previous prime is 3785432699. The next prime is 3785432737. The reversal of 3785432704 is 4072345873.

It can be written as a sum of positive squares in 4 ways, for example, as 3481000000 + 304432704 = 59000^2 + 17448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57004 + ... + 104020.

Almost surely, 2^3785432704 is an apocalyptic number.

3785432704 is a gapful number since it is divisible by the number (34) 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 3785432704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100439780).

3785432704 is an abundant number, since it is smaller than the sum of its proper divisors (4415446856).

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

3785432704 is a wasteful number, since it uses less digits than its factorization.

3785432704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47085 (or 47073 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The square root of 3785432704 is about 61525.8702010788. The cubic root of 3785432704 is about 1558.4941506588.

The spelling of 3785432704 in words is "three billion, seven hundred eighty-five million, four hundred thirty-two thousand, seven hundred four".