3785259360 has 96 divisors (see below), whose sum is σ = 11933399520. Its totient is φ = 1008570368.

The previous prime is 3785259343. The next prime is 3785259377. The reversal of 3785259360 is 639525873.

It is a happy number.

3785259360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3785259343) and next prime (3785259377).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771796 + ... + 776684.

It is an arithmetic number, because the mean of its divisors is an integer number (124306245).

Almost surely, 2^3785259360 is an apocalyptic number.

3785259360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3785259360 is an abundant number, since it is smaller than the sum of its proper divisors (8148140160).

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

3785259360 is a wasteful number, since it uses less digits than its factorization.

3785259360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 3785259360 is about 61524.4614767167. The cubic root of 3785259360 is about 1558.4703612398.

The spelling of 3785259360 in words is "three billion, seven hundred eighty-five million, two hundred fifty-nine thousand, three hundred sixty".