3495049786800 has 2400 divisors, whose sum is σ = 15409997197056. Its totient is φ = 747242496000.

The previous prime is 3495049786783. The next prime is 3495049786867. The reversal of 3495049786800 is 86879405943.

3495049786800 is a `hidden beast` number, since 3 + 49 + 504 + 9 + 7 + 8 + 6 + 80 + 0 = 666.

3495049786800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10559062635 + ... + 10559062965.

Almost surely, 2^{3495049786800} is an apocalyptic number.

3495049786800 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 3495049786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704998598528).

3495049786800 is an abundant number, since it is smaller than the sum of its proper divisors (11914947410256).

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

3495049786800 is a wasteful number, since it uses less digits than its factorization.

3495049786800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3495049786800 in words is "three trillion, four hundred ninety-five billion, forty-nine million, seven hundred eighty-six thousand, eight hundred".