34640512500 has 288 divisors, whose sum is σ = 111712849920. Its totient is φ = 8283600000.

The previous prime is 34640512493. The next prime is 34640512531. The reversal of 34640512500 is 521504643.

It is a super-3 number, since 3×34640512500³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32586969 + ... + 32588031.

It is an arithmetic number, because the mean of its divisors is an integer number (387891840).

Almost surely, 2^34640512500 is an apocalyptic number.

34640512500 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 34640512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55856424960).

34640512500 is an abundant number, since it is smaller than the sum of its proper divisors (77072337420).

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

34640512500 is a wasteful number, since it uses less digits than its factorization.

34640512500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 34640512500 in words is "thirty-four billion, six hundred forty million, five hundred twelve thousand, five hundred".