3785957550 has 96 divisors (see below), whose sum is σ = 10886088960. Its totient is φ = 965685600.

The previous prime is 3785957521. The next prime is 3785957557. The reversal of 3785957550 is 557595873.

3785957550 is a `hidden beast` number, since 3 + 7 + 85 + 9 + 5 + 7 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785957557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29916 + ... + 92015.

It is an arithmetic number, because the mean of its divisors is an integer number (113396760).

Almost surely, 2^3785957550 is an apocalyptic number.

3785957550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3785957550 is an abundant number, since it is smaller than the sum of its proper divisors (7100131410).

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

3785957550 is a wasteful number, since it uses less digits than its factorization.

3785957550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121975 (or 121964 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The square root of 3785957550 is about 61530.1352997050. The cubic root of 3785957550 is about 1558.5661751524.

The spelling of 3785957550 in words is "three billion, seven hundred eighty-five million, nine hundred fifty-seven thousand, five hundred fifty".