3755505000 has 160 divisors (see below), whose sum is σ = 12635330400. Its totient is φ = 924384000.

The previous prime is 3755504981. The next prime is 3755505001. The reversal of 3755505000 is 5055573.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3755505001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185371 + ... + 204629.

It is an arithmetic number, because the mean of its divisors is an integer number (78970815).

Almost surely, 2^3755505000 is an apocalyptic number.

3755505000 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 3755505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317665200).

3755505000 is an abundant number, since it is smaller than the sum of its proper divisors (8879825400).

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

3755505000 is a wasteful number, since it uses less digits than its factorization.

3755505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19301 (or 19282 counting only the distinct ones).

The product of its (nonzero) digits is 13125, while the sum is 30.

The square root of 3755505000 is about 61282.1752224903. The cubic root of 3755505000 is about 1554.3761174909.

The spelling of 3755505000 in words is "three billion, seven hundred fifty-five million, five hundred five thousand".