3729136320 has 1344 divisors, whose sum is σ = 17893564416. Its totient is φ = 716636160.

The previous prime is 3729136319. The next prime is 3729136373. The reversal of 3729136320 is 236319273.

3729136320 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120294705 + ... + 120294735.

It is an arithmetic number, because the mean of its divisors is an integer number (13313664).

Almost surely, 2^3729136320 is an apocalyptic number.

3729136320 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 3729136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946782208).

3729136320 is an abundant number, since it is smaller than the sum of its proper divisors (14164428096).

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

3729136320 is a wasteful number, since it uses less digits than its factorization.

3729136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3729136320 is about 61066.6547307121. The cubic root of 3729136320 is about 1550.7296349780.

The spelling of 3729136320 in words is "three billion, seven hundred twenty-nine million, one hundred thirty-six thousand, three hundred twenty".