34642520640 has 1120 divisors, whose sum is σ = 159856139520. Its totient is φ = 6915538944.

The previous prime is 34642520639. The next prime is 34642520641. The reversal of 34642520640 is 4602524643.

34642520640 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 2 + 5 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (34642520639) and next prime (34642520641).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34642520595 and 34642520604.

It is not an unprimeable number, because it can be changed into a prime (34642520641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44815294 + ... + 44816066.

It is an arithmetic number, because the mean of its divisors is an integer number (142728696).

Almost surely, 2^34642520640 is an apocalyptic number.

34642520640 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 34642520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79928069760).

34642520640 is an abundant number, since it is smaller than the sum of its proper divisors (125213618880).

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

34642520640 is a wasteful number, since it uses less digits than its factorization.

34642520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34642520640 in words is "thirty-four billion, six hundred forty-two million, five hundred twenty thousand, six hundred forty".