3750829920 has 72 divisors (see below), whose sum is σ = 12799712016. Its totient is φ = 1000220928.

The previous prime is 3750829891. The next prime is 3750829921. The reversal of 3750829920 is 299280573.

3750829920 is a `hidden beast` number, since 37 + 508 + 2 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (3750829921) 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 11 ways as a sum of consecutive naturals, for example, 1300932 + ... + 1303811.

It is an arithmetic number, because the mean of its divisors is an integer number (177773778).

Almost surely, 2^3750829920 is an apocalyptic number.

3750829920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3750829920 is an abundant number, since it is smaller than the sum of its proper divisors (9048882096).

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

3750829920 is a wasteful number, since it uses less digits than its factorization.

3750829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604764 (or 2604753 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3750829920 is about 61244.0194631280. The cubic root of 3750829920 is about 1553.7308558297.

The spelling of 3750829920 in words is "three billion, seven hundred fifty million, eight hundred twenty-nine thousand, nine hundred twenty".