3534116100 has 72 divisors (see below), whose sum is σ = 10294132800. Its totient is φ = 936094080.

The previous prime is 3534116099. The next prime is 3534116101. The reversal of 3534116100 is 16114353.

It is an interprime number because it is at equal distance from previous prime (3534116099) and next prime (3534116101).

It is not an unprimeable number, because it can be changed into a prime (3534116101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5169 + ... + 84231.

Almost surely, 2^3534116100 is an apocalyptic number.

3534116100 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 3534116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147066400).

3534116100 is an abundant number, since it is smaller than the sum of its proper divisors (6760016700).

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

3534116100 is a wasteful number, since it uses less digits than its factorization.

3534116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79229 (or 79222 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3534116100 is about 59448.4322753763. The cubic root of 3534116100 is about 1523.2117136993.

The spelling of 3534116100 in words is "three billion, five hundred thirty-four million, one hundred sixteen thousand, one hundred".