34360211040 has 288 divisors, whose sum is σ = 116689144320. Its totient is φ = 8493769728.

The previous prime is 34360211003. The next prime is 34360211047. The reversal of 34360211040 is 4011206343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34360211040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34360211047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8142051 + ... + 8146269.

It is an arithmetic number, because the mean of its divisors is an integer number (405170640).

Almost surely, 2^34360211040 is an apocalyptic number.

34360211040 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 34360211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58344572160).

34360211040 is an abundant number, since it is smaller than the sum of its proper divisors (82328933280).

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

34360211040 is a wasteful number, since it uses less digits than its factorization.

34360211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34360211040 its reverse (4011206343), we get a palindrome (38371417383).

The spelling of 34360211040 in words is "thirty-four billion, three hundred sixty million, two hundred eleven thousand, forty".