3495851265816 has 384 divisors, whose sum is σ = 12216064896000. Its totient is φ = 918116446464.

The previous prime is 3495851265793. The next prime is 3495851265839. The reversal of 3495851265816 is 6185621585943.

3495851265816 is a `hidden beast` number, since 3 + 4 + 9 + 58 + 512 + 6 + 58 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (3495851265793) and next prime (3495851265839).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 32831335 + ... + 32937641.

It is an arithmetic number, because the mean of its divisors is an integer number (31812669000).

Almost surely, 2^{3495851265816} is an apocalyptic number.

3495851265816 is a gapful number since it is divisible by the number (36) 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 3495851265816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108032448000).

3495851265816 is an abundant number, since it is smaller than the sum of its proper divisors (8720213630184).

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

3495851265816 is a wasteful number, since it uses less digits than its factorization.

3495851265816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106588 (or 106571 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 3495851265816 in words is "three trillion, four hundred ninety-five billion, eight hundred fifty-one million, two hundred sixty-five thousand, eight hundred sixteen".