3490709040 has 960 divisors, whose sum is σ = 15673996800. Its totient is φ = 707180544.

The previous prime is 3490709023. The next prime is 3490709077. The reversal of 3490709040 is 409070943.

3490709040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3490708986 and 3490709004.

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, 59164531 + ... + 59164589.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2^3490709040 is an apocalyptic number.

3490709040 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 3490709040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836998400).

3490709040 is an abundant number, since it is smaller than the sum of its proper divisors (12183287760).

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

3490709040 is a wasteful number, since it uses less digits than its factorization.

3490709040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3490709040 is about 59082.2227070038. Note that the first 3 decimals coincide. The cubic root of 3490709040 is about 1516.9498274726.

Adding to 3490709040 its reverse (409070943), we get a palindrome (3899779983).

The spelling of 3490709040 in words is "three billion, four hundred ninety million, seven hundred nine thousand, forty".