34416426640 has 40 divisors (see below), whose sum is σ = 81969862968. Its totient is φ = 13430799360.

The previous prime is 34416426623. The next prime is 34416426677. The reversal of 34416426640 is 4662461443.

It can be written as a sum of positive squares in 4 ways, for example, as 1906894224 + 32509532416 = 43668^2 + 180304^2 .

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

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34416426593 and 34416426602.

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, 5243127 + ... + 5249686.

Almost surely, 2^34416426640 is an apocalyptic number.

It is an amenable number.

34416426640 is an abundant number, since it is smaller than the sum of its proper divisors (47553436328).

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

34416426640 is a wasteful number, since it uses less digits than its factorization.

34416426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492867 (or 10492861 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 34416426640 in words is "thirty-four billion, four hundred sixteen million, four hundred twenty-six thousand, six hundred forty".