3498939936 has 96 divisors (see below), whose sum is σ = 10231704000. Its totient is φ = 1163289600.

The previous prime is 3498939901. The next prime is 3498939967. The reversal of 3498939936 is 6399398943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3498939936³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341415 + ... + 351513.

It is an arithmetic number, because the mean of its divisors is an integer number (106580250).

Almost surely, 2^3498939936 is an apocalyptic number.

3498939936 is a gapful number since it is divisible by the number (36) 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 3498939936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115852000).

3498939936 is an abundant number, since it is smaller than the sum of its proper divisors (6732764064).

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

3498939936 is a wasteful number, since it uses less digits than its factorization.

3498939936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10519 (or 10505 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The square root of 3498939936 is about 59151.8379765160. The cubic root of 3498939936 is about 1518.1411857621.

The spelling of 3498939936 in words is "three billion, four hundred ninety-eight million, nine hundred thirty-nine thousand, nine hundred thirty-six".