3349089900 has 324 divisors, whose sum is σ = 11534933592. Its totient is φ = 812298240.

The previous prime is 3349089899. The next prime is 3349089901. The reversal of 3349089900 is 99809433.

It is an interprime number because it is at equal distance from previous prime (3349089899) and next prime (3349089901).

It is a super-2 number, since 2×3349089900² = 22432806316564020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3349089901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14753587 + ... + 14753813.

Almost surely, 2^3349089900 is an apocalyptic number.

3349089900 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 3349089900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767466796).

3349089900 is an abundant number, since it is smaller than the sum of its proper divisors (8185843692).

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

3349089900 is a wasteful number, since it uses less digits than its factorization.

3349089900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3349089900 is about 57871.3219133622. The cubic root of 3349089900 is about 1496.1516016639.

The spelling of 3349089900 in words is "three billion, three hundred forty-nine million, eighty-nine thousand, nine hundred".