3729112140 has 192 divisors, whose sum is σ = 12219863040. Its totient is φ = 841466880.

The previous prime is 3729112139. The next prime is 3729112183. The reversal of 3729112140 is 412119273.

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

It is a junction number, because it is equal to n+sod(n) for n = 3729112098 and 3729112107.

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 63 ways as a sum of consecutive naturals, for example, 455362 + ... + 463478.

It is an arithmetic number, because the mean of its divisors is an integer number (63645120).

Almost surely, 2^3729112140 is an apocalyptic number.

3729112140 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 3729112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109931520).

3729112140 is an abundant number, since it is smaller than the sum of its proper divisors (8490750900).

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

3729112140 is a wasteful number, since it uses less digits than its factorization.

3729112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3729112140 is about 61066.4567500031. The cubic root of 3729112140 is about 1550.7262832883.

The spelling of 3729112140 in words is "three billion, seven hundred twenty-nine million, one hundred twelve thousand, one hundred forty".