34077100800 has 432 divisors, whose sum is σ = 116979575328. Its totient is φ = 8729395200.

The previous prime is 34077100781. The next prime is 34077100801. The reversal of 34077100800 is 800177043.

It is a happy number.

It is a super-2 number, since 2×34077100800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34077100801) 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, 57465304 + ... + 57465896.

It is an arithmetic number, because the mean of its divisors is an integer number (270786054).

Almost surely, 2^34077100800 is an apocalyptic number.

34077100800 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 34077100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58489787664).

34077100800 is an abundant number, since it is smaller than the sum of its proper divisors (82902474528).

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

34077100800 is a wasteful number, since it uses less digits than its factorization.

34077100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 34077100800 its reverse (800177043), we get a palindrome (34877277843).

The spelling of 34077100800 in words is "thirty-four billion, seventy-seven million, one hundred thousand, eight hundred".