3728131920 has 400 divisors, whose sum is σ = 13614509568. Its totient is φ = 944317440.

The previous prime is 3728131919. The next prime is 3728131931. The reversal of 3728131920 is 291318273.

It is a super-2 number, since 2×3728131920² = 27797935225845772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 13458822 + ... + 13459098.

Almost surely, 2^3728131920 is an apocalyptic number.

3728131920 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 3728131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807254784).

3728131920 is an abundant number, since it is smaller than the sum of its proper divisors (9886377648).

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

3728131920 is a wasteful number, since it uses less digits than its factorization.

3728131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3728131920 is about 61058.4303761569. The cubic root of 3728131920 is about 1550.5903987431.

The spelling of 3728131920 in words is "three billion, seven hundred twenty-eight million, one hundred thirty-one thousand, nine hundred twenty".