3490035107328 has 720 divisors, whose sum is σ = 13534196751504. Its totient is φ = 853168619520.

The previous prime is 3490035107233. The next prime is 3490035107329. The reversal of 3490035107328 is 8237015300943.

3490035107328 is a `hidden beast` number, since 3 + 49 + 0 + 0 + 3 + 510 + 73 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490035107329) 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, 42181776 + ... + 42264432.

Almost surely, 2^{3490035107328} 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 3490035107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767098375752).

3490035107328 is an abundant number, since it is smaller than the sum of its proper divisors (10044161644176).

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

3490035107328 is a wasteful number, since it uses less digits than its factorization.

3490035107328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82723 (or 82697 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3490035107328 in words is "three trillion, four hundred ninety billion, thirty-five million, one hundred seven thousand, three hundred twenty-eight".