3726029040 has 80 divisors (see below), whose sum is σ = 11949012000. Its totient is φ = 959343616.

The previous prime is 3726028967. The next prime is 3726029051. The reversal of 3726029040 is 409206273.

3726029040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3726028992 and 3726029010.

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, 260715 + ... + 274634.

It is an arithmetic number, because the mean of its divisors is an integer number (149362650).

Almost surely, 2^3726029040 is an apocalyptic number.

3726029040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3726029040 is an abundant number, since it is smaller than the sum of its proper divisors (8222982960).

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

3726029040 is a wasteful number, since it uses less digits than its factorization.

3726029040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535394 (or 535388 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3726029040 is about 61041.2077206865. The cubic root of 3726029040 is about 1550.2988033029.

The spelling of 3726029040 in words is "three billion, seven hundred twenty-six million, twenty-nine thousand, forty".