34486794000 has 120 divisors (see below), whose sum is σ = 120450938712. Its totient is φ = 9196473600.

The previous prime is 34486793969. The next prime is 34486794007. The reversal of 34486794000 is 49768443.

It can be written as a sum of positive squares in 4 ways, for example, as 7707435264 + 26779358736 = 87792^2 + 163644^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34486794007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939967 + ... + 975966.

Almost surely, 2^34486794000 is an apocalyptic number.

34486794000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34486794000 is an abundant number, since it is smaller than the sum of its proper divisors (85964144712).

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

34486794000 is a wasteful number, since it uses less digits than its factorization.

34486794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915962 (or 1915943 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34486794000 in words is "thirty-four billion, four hundred eighty-six million, seven hundred ninety-four thousand".