34622864640 has 1152 divisors, whose sum is σ = 154114329600. Its totient is φ = 7166361600.

The previous prime is 34622864603. The next prime is 34622864659. The reversal of 34622864640 is 4646822643.

34622864640 is a `hidden beast` number, since 346 + 228 + 6 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317640906 + ... + 317641014.

It is an arithmetic number, because the mean of its divisors is an integer number (133779800).

Almost surely, 2^34622864640 is an apocalyptic number.

34622864640 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 34622864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77057164800).

34622864640 is an abundant number, since it is smaller than the sum of its proper divisors (119491464960).

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

34622864640 is a wasteful number, since it uses less digits than its factorization.

34622864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 34622864640 in words is "thirty-four billion, six hundred twenty-two million, eight hundred sixty-four thousand, six hundred forty".