3495825992340 has 288 divisors, whose sum is σ = 11720599502976. Its totient is φ = 836343889920.

The previous prime is 3495825992333. The next prime is 3495825992453. The reversal of 3495825992340 is 432995285943.

3495825992340 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 8 + 2 + 599 + 2 + 34 + 0 = 666.

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, 67771399 + ... + 67822961.

It is an arithmetic number, because the mean of its divisors is an integer number (40696526052).

Almost surely, 2^{3495825992340} is an apocalyptic number.

3495825992340 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 3495825992340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860299751488).

3495825992340 is an abundant number, since it is smaller than the sum of its proper divisors (8224773510636).

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

3495825992340 is a wasteful number, since it uses less digits than its factorization.

3495825992340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52039 (or 52034 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 3495825992340 in words is "three trillion, four hundred ninety-five billion, eight hundred twenty-five million, nine hundred ninety-two thousand, three hundred forty".