3755671920 has 960 divisors, whose sum is σ = 17652870144. Its totient is φ = 716636160.

The previous prime is 3755671903. The next prime is 3755671921. The reversal of 3755671920 is 291765573.

3755671920 is a `hidden beast` number, since 3 + 7 + 556 + 7 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755671921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19459344 + ... + 19459536.

Almost surely, 2^3755671920 is an apocalyptic number.

3755671920 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 3755671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8826435072).

3755671920 is an abundant number, since it is smaller than the sum of its proper divisors (13897198224).

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

3755671920 is a wasteful number, since it uses less digits than its factorization.

3755671920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 3755671920 is about 61283.5371041848. The cubic root of 3755671920 is about 1554.3991461397.

The spelling of 3755671920 in words is "three billion, seven hundred fifty-five million, six hundred seventy-one thousand, nine hundred twenty".