34695138240 has 560 divisors, whose sum is σ = 144360302592. Its totient is φ = 7744149504.

The previous prime is 34695138199. The next prime is 34695138259. The reversal of 34695138240 is 4283159643.

34695138240 is a `hidden beast` number, since 34 + 69 + 513 + 8 + 2 + 40 = 666.

34695138240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7799697 + ... + 7804143.

Almost surely, 2^34695138240 is an apocalyptic number.

34695138240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34695138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72180151296).

34695138240 is an abundant number, since it is smaller than the sum of its proper divisors (109665164352).

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

34695138240 is a wasteful number, since it uses less digits than its factorization.

34695138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34695138240 in words is "thirty-four billion, six hundred ninety-five million, one hundred thirty-eight thousand, two hundred forty".