3201294096 has 480 divisors, whose sum is σ = 12449480960. Its totient is φ = 766402560.

The previous prime is 3201294071. The next prime is 3201294113. The reversal of 3201294096 is 6904921023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3201294096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4756416 + ... + 4757088.

Almost surely, 2^3201294096 is an apocalyptic number.

3201294096 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 3201294096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224740480).

3201294096 is an abundant number, since it is smaller than the sum of its proper divisors (9248186864).

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

3201294096 is a wasteful number, since it uses less digits than its factorization.

3201294096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3201294096 is about 56579.9796394449. The cubic root of 3201294096 is about 1473.8112181189.

The spelling of 3201294096 in words is "three billion, two hundred one million, two hundred ninety-four thousand, ninety-six".