3709247040 has 448 divisors, whose sum is σ = 13815486720. Its totient is φ = 935608320.

The previous prime is 3709247039. The next prime is 3709247057. The reversal of 3709247040 is 407429073.

3709247040 is a `hidden beast` number, since 370 + 9 + 247 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3709246986 and 3709247004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13106739 + ... + 13107021.

It is an arithmetic number, because the mean of its divisors is an integer number (30838140).

Almost surely, 2^3709247040 is an apocalyptic number.

3709247040 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 3709247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907743360).

3709247040 is an abundant number, since it is smaller than the sum of its proper divisors (10106239680).

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

3709247040 is a wasteful number, since it uses less digits than its factorization.

3709247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3709247040 is about 60903.5880716399. The cubic root of 3709247040 is about 1547.9677897270.

The spelling of 3709247040 in words is "three billion, seven hundred nine million, two hundred forty-seven thousand, forty".