3485905794 has 320 divisors, whose sum is σ = 10303856640. Its totient is φ = 856604160.

The previous prime is 3485905789. The next prime is 3485905799. The reversal of 3485905794 is 4975095843.

3485905794 is a `hidden beast` number, since 3 + 48 + 590 + 5 + 7 + 9 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3485905789) and next prime (3485905799).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3485905794.

It is not an unprimeable number, because it can be changed into a prime (3485905799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11354589 + ... + 11354895.

It is an arithmetic number, because the mean of its divisors is an integer number (32199552).

Almost surely, 2^3485905794 is an apocalyptic number.

3485905794 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485905794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151928320).

3485905794 is an abundant number, since it is smaller than the sum of its proper divisors (6817950846).

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

3485905794 is a wasteful number, since it uses less digits than its factorization.

3485905794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3485905794 is about 59041.5598879298. The cubic root of 3485905794 is about 1516.2537293771.

The spelling of 3485905794 in words is "three billion, four hundred eighty-five million, nine hundred five thousand, seven hundred ninety-four".