34543903680 has 896 divisors, whose sum is σ = 145508106240. Its totient is φ = 7604305920.

The previous prime is 34543903679. The next prime is 34543903721. The reversal of 34543903680 is 8630934543.

34543903680 is a `hidden beast` number, since 3 + 454 + 3 + 90 + 36 + 80 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90192769 + ... + 90193151.

It is an arithmetic number, because the mean of its divisors is an integer number (162397440).

Almost surely, 2^34543903680 is an apocalyptic number.

34543903680 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 34543903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72754053120).

34543903680 is an abundant number, since it is smaller than the sum of its proper divisors (110964202560).

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

34543903680 is a wasteful number, since it uses less digits than its factorization.

34543903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 34543903680 in words is "thirty-four billion, five hundred forty-three million, nine hundred three thousand, six hundred eighty".