3499368708096 has 336 divisors, whose sum is σ = 10504605711600. Its totient is φ = 1164915965952.

The previous prime is 3499368708079. The next prime is 3499368708103. The reversal of 3499368708096 is 6908078639943.

3499368708096 is a `hidden beast` number, since 3 + 499 + 3 + 68 + 70 + 8 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1969255560 + ... + 1969257336.

It is an arithmetic number, because the mean of its divisors is an integer number (31263707475).

Almost surely, 2^{3499368708096} is an apocalyptic number.

3499368708096 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 3499368708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252302855800).

3499368708096 is an abundant number, since it is smaller than the sum of its proper divisors (7005237003504).

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

3499368708096 is an equidigital number, since it uses as much as digits as its factorization.

3499368708096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 3499368708096 in words is "three trillion, four hundred ninety-nine billion, three hundred sixty-eight million, seven hundred eight thousand, ninety-six".