34352425040 has 40 divisors (see below), whose sum is σ = 82028027400. Its totient is φ = 13369591296.

The previous prime is 34352424979. The next prime is 34352425057. The reversal of 34352425040 is 4052425343.

It can be written as a sum of positive squares in 4 ways, for example, as 19699806736 + 14652618304 = 140356^2 + 121048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34352425040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34352424988 and 34352425006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5799815 + ... + 5805734.

It is an arithmetic number, because the mean of its divisors is an integer number (2050700685).

Almost surely, 2^34352425040 is an apocalyptic number.

It is an amenable number.

34352425040 is an abundant number, since it is smaller than the sum of its proper divisors (47675602360).

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

34352425040 is a wasteful number, since it uses less digits than its factorization.

34352425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605599 (or 11605593 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 34352425040 in words is "thirty-four billion, three hundred fifty-two million, four hundred twenty-five thousand, forty".