34539620640 has 192 divisors, whose sum is σ = 124439245056. Its totient is φ = 7888637952.

The previous prime is 34539620623. The next prime is 34539620677. The reversal of 34539620640 is 4602693543.

It is a super-2 number, since 2×34539620640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34539620592 and 34539620601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5416494 + ... + 5422866.

It is an arithmetic number, because the mean of its divisors is an integer number (648121068).

Almost surely, 2^34539620640 is an apocalyptic number.

34539620640 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 34539620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62219622528).

34539620640 is an abundant number, since it is smaller than the sum of its proper divisors (89899624416).

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

34539620640 is a wasteful number, since it uses less digits than its factorization.

34539620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 34539620640 in words is "thirty-four billion, five hundred thirty-nine million, six hundred twenty thousand, six hundred forty".