34041801360 has 480 divisors, whose sum is σ = 129235156992. Its totient is φ = 7376624640.

The previous prime is 34041801331. The next prime is 34041801371. The reversal of 34041801360 is 6310814043.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 34350465 + ... + 34351455.

Almost surely, 2^34041801360 is an apocalyptic number.

34041801360 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 34041801360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64617578496).

34041801360 is an abundant number, since it is smaller than the sum of its proper divisors (95193355632).

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

34041801360 is a wasteful number, since it uses less digits than its factorization.

34041801360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 34041801360 in words is "thirty-four billion, forty-one million, eight hundred one thousand, three hundred sixty".