34781373667400 has 24 divisors (see below), whose sum is σ = 80866693777170. Its totient is φ = 13912549466880.

The previous prime is 34781373667319. The next prime is 34781373667421. The reversal of 34781373667400 is 476637318743.

It can be written as a sum of positive squares in 3 ways, for example, as 28544037246244 + 6237336421156 = 5342662^2 + 2497466^2 .

It is a super-2 number, since 2×34781373667400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34781373667400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86953433969 + ... + 86953434368.

Almost surely, 2^{34781373667400} is an apocalyptic number.

It is an amenable number.

34781373667400 is an abundant number, since it is smaller than the sum of its proper divisors (46085320109770).

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

34781373667400 is a wasteful number, since it uses less digits than its factorization.

34781373667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173906868353 (or 173906868344 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 59.

The spelling of 34781373667400 in words is "thirty-four trillion, seven hundred eighty-one billion, three hundred seventy-three million, six hundred sixty-seven thousand, four hundred".