34629344640 has 768 divisors, whose sum is σ = 141198681600. Its totient is φ = 7939768320.

The previous prime is 34629344639. The next prime is 34629344681. The reversal of 34629344640 is 4644392643.

It is a happy number.

34629344640 is a `hidden beast` number, since 3 + 462 + 93 + 44 + 64 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389093716 + ... + 389093804.

It is an arithmetic number, because the mean of its divisors is an integer number (183852450).

Almost surely, 2^34629344640 is an apocalyptic number.

34629344640 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 34629344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70599340800).

34629344640 is an abundant number, since it is smaller than the sum of its proper divisors (106569336960).

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

34629344640 is a wasteful number, since it uses less digits than its factorization.

34629344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 34629344640 in words is "thirty-four billion, six hundred twenty-nine million, three hundred forty-four thousand, six hundred forty".