34795575023850 has 72 divisors (see below), whose sum is σ = 93490838917632. Its totient is φ = 9278152279200.

The previous prime is 34795575023849. The next prime is 34795575023851. The reversal of 34795575023850 is 5832057559743.

34795575023850 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 5 + 575 + 0 + 2 + 3 + 8 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (34795575023849) and next prime (34795575023851).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34795575023851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3493719 + ... + 9044181.

It is an arithmetic number, because the mean of its divisors is an integer number (1298483873856).

Almost surely, 2^{34795575023850} is an apocalyptic number.

34795575023850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34795575023850 is an abundant number, since it is smaller than the sum of its proper divisors (58695263893782).

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

34795575023850 is a wasteful number, since it uses less digits than its factorization.

34795575023850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564412 (or 5564404 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 34795575023850 in words is "thirty-four trillion, seven hundred ninety-five billion, five hundred seventy-five million, twenty-three thousand, eight hundred fifty".