34014263616 has 42 divisors (see below), whose sum is σ = 97495746842. Its totient is φ = 11338087680.

The previous prime is 34014263603. The next prime is 34014263653. The reversal of 34014263616 is 61636241043.

34014263616 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 2 + 636 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23629838400 + 10384425216 = 153720^2 + 101904^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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, 29525695 + ... + 29526846.

Almost surely, 2^34014263616 is an apocalyptic number.

34014263616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34014263616 is an abundant number, since it is smaller than the sum of its proper divisors (63481483226).

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

34014263616 is a wasteful number, since it uses less digits than its factorization.

34014263616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59052559 (or 59052546 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34014263616 in words is "thirty-four billion, fourteen million, two hundred sixty-three thousand, six hundred sixteen".