34135047400 has 48 divisors (see below), whose sum is σ = 82100688300. Its totient is φ = 13183188480.

The previous prime is 34135047383. The next prime is 34135047407. The reversal of 34135047400 is 474053143.

It can be written as a sum of positive squares in 6 ways, for example, as 5845825764 + 28289221636 = 76458^2 + 168194^2 .

It is a super-2 number, since 2×34135047400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34135047407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2936877 + ... + 2948476.

Almost surely, 2^34135047400 is an apocalyptic number.

It is an amenable number.

34135047400 is an abundant number, since it is smaller than the sum of its proper divisors (47965640900).

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

34135047400 is a wasteful number, since it uses less digits than its factorization.

34135047400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885398 (or 5885389 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 34135047400 in words is "thirty-four billion, one hundred thirty-five million, forty-seven thousand, four hundred".