3495963744 has 432 divisors, whose sum is σ = 12738345984. Its totient is φ = 889574400.

The previous prime is 3495963719. The next prime is 3495963749. The reversal of 3495963744 is 4473695943.

It is a happy number.

3495963744 is a `hidden beast` number, since 3 + 4 + 9 + 596 + 3 + 7 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495963749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10561659 + ... + 10561989.

It is an arithmetic number, because the mean of its divisors is an integer number (29486912).

Almost surely, 2^3495963744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3495963744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369172992).

3495963744 is an abundant number, since it is smaller than the sum of its proper divisors (9242382240).

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

3495963744 is a wasteful number, since it uses less digits than its factorization.

3495963744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 3495963744 is about 59126.6754012096. The cubic root of 3495963744 is about 1517.7106209415.

The spelling of 3495963744 in words is "three billion, four hundred ninety-five million, nine hundred sixty-three thousand, seven hundred forty-four".