3729718656 has 128 divisors (see below), whose sum is σ = 11036440800. Its totient is φ = 1240012800.

The previous prime is 3729718633. The next prime is 3729718661. The reversal of 3729718656 is 6568179273.

3729718656 is a `hidden beast` number, since 372 + 97 + 186 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592046 + ... + 1594386.

Almost surely, 2^3729718656 is an apocalyptic number.

3729718656 is a gapful number since it is divisible by the number (36) 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 3729718656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518220400).

3729718656 is an abundant number, since it is smaller than the sum of its proper divisors (7306722144).

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

3729718656 is a wasteful number, since it uses less digits than its factorization.

3729718656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2807 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 3729718656 is about 61071.4225804508. The cubic root of 3729718656 is about 1550.8103506016.

The spelling of 3729718656 in words is "three billion, seven hundred twenty-nine million, seven hundred eighteen thousand, six hundred fifty-six".