34664620032 has 560 divisors, whose sum is σ = 125601252480. Its totient is φ = 9300344832.

The previous prime is 34664620031. The next prime is 34664620043. The reversal of 34664620032 is 23002646643.

34664620032 is a `hidden beast` number, since 3 + 4 + 6 + 646 + 2 + 0 + 0 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34664620031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78962469 + ... + 78962907.

Almost surely, 2^34664620032 is an apocalyptic number.

34664620032 is a gapful number since it is divisible by the number (32) 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 34664620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62800626240).

34664620032 is an abundant number, since it is smaller than the sum of its proper divisors (90936632448).

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

34664620032 is an equidigital number, since it uses as much as digits as its factorization.

34664620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34664620032 in words is "thirty-four billion, six hundred sixty-four million, six hundred twenty thousand, thirty-two".