3493002240 has 1056 divisors, whose sum is σ = 16094332800. Its totient is φ = 693633024.

The previous prime is 3493002217. The next prime is 3493002251. The reversal of 3493002240 is 422003943.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205470712 + ... + 205470728.

Almost surely, 2^3493002240 is an apocalyptic number.

3493002240 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 3493002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047166400).

3493002240 is an abundant number, since it is smaller than the sum of its proper divisors (12601330560).

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

3493002240 is a wasteful number, since it uses less digits than its factorization.

3493002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3493002240 is about 59101.6263735610. The cubic root of 3493002240 is about 1517.2819384009.

The spelling of 3493002240 in words is "three billion, four hundred ninety-three million, two thousand, two hundred forty".