3329160100 has 144 divisors (see below), whose sum is σ = 8539953408. Its totient is φ = 1102671360.

The previous prime is 3329160097. The next prime is 3329160101. The reversal of 3329160100 is 10619233.

It is a super-2 number, since 2×3329160100² = 22166613942864020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3329160101) 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, 4480329 + ... + 4481071.

It is an arithmetic number, because the mean of its divisors is an integer number (59305232).

Almost surely, 2^3329160100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3329160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269976704).

3329160100 is an abundant number, since it is smaller than the sum of its proper divisors (5210793308).

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

3329160100 is a wasteful number, since it uses less digits than its factorization.

3329160100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 3329160100 is about 57698.8743391065. The cubic root of 3329160100 is about 1493.1779235904.

Adding to 3329160100 its reverse (10619233), we get a palindrome (3339779333).

The spelling of 3329160100 in words is "three billion, three hundred twenty-nine million, one hundred sixty thousand, one hundred".