3709348440 has 128 divisors (see below), whose sum is σ = 12809664000. Its totient is φ = 841724928.

The previous prime is 3709348427. The next prime is 3709348441. The reversal of 3709348440 is 448439073.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3709348392 and 3709348401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3709348441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100876 + ... + 132644.

It is an arithmetic number, because the mean of its divisors is an integer number (100075500).

Almost surely, 2^3709348440 is an apocalyptic number.

3709348440 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 3709348440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404832000).

3709348440 is an abundant number, since it is smaller than the sum of its proper divisors (9100315560).

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

3709348440 is a wasteful number, since it uses less digits than its factorization.

3709348440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31929 (or 31925 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3709348440 is about 60904.4205292194. The cubic root of 3709348440 is about 1547.9818952406.

The spelling of 3709348440 in words is "three billion, seven hundred nine million, three hundred forty-eight thousand, four hundred forty".