34010100 has 216 divisors, whose sum is σ = 116992512. Its totient is φ = 8236800.

The previous prime is 34010087. The next prime is 34010101. The reversal of 34010100 is 101043.

34010100 = 1205² + 1206² + ... + 1227².

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 641674 + ... + 641726.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^34010100 is an apocalyptic number.

34010100 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 34010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

34010100 is an abundant number, since it is smaller than the sum of its proper divisors (82982412).

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

34010100 is a wasteful number, since it uses less digits than its factorization.

34010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 34010100 is about 5831.8178983915. The cubic root of 34010100 is about 323.9932554609.

Adding to 34010100 its reverse (101043), we get a palindrome (34111143).

It can be divided in two parts, 340 and 10100, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 34010100 in words is "thirty-four million, ten thousand, one hundred".