34364263680 has 216 divisors, whose sum is σ = 119036554728. Its totient is φ = 9153036288.

The previous prime is 34364263669. The next prime is 34364263691. The reversal of 34364263680 is 8636246343.

34364263680 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 4 + 2 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34364263669) and next prime (34364263691).

It can be written as a sum of positive squares in 4 ways, for example, as 12379677696 + 21984585984 = 111264^2 + 148272^2 .

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16737534 + ... + 16739586.

Almost surely, 2^34364263680 is an apocalyptic number.

34364263680 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 34364263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59518277364).

34364263680 is an abundant number, since it is smaller than the sum of its proper divisors (84672291048).

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

34364263680 is a wasteful number, since it uses less digits than its factorization.

34364263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3516 counting only the distinct ones).

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

The spelling of 34364263680 in words is "thirty-four billion, three hundred sixty-four million, two hundred sixty-three thousand, six hundred eighty".