3295249920 has 240 divisors, whose sum is σ = 11547787680. Its totient is φ = 868319232.

The previous prime is 3295249907. The next prime is 3295249943. The reversal of 3295249920 is 299425923.

3295249920 is a `hidden beast` number, since 32 + 9 + 524 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2049757 + ... + 2051363.

It is an arithmetic number, because the mean of its divisors is an integer number (48115782).

Almost surely, 2^3295249920 is an apocalyptic number.

3295249920 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 3295249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773893840).

3295249920 is an abundant number, since it is smaller than the sum of its proper divisors (8252537760).

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

3295249920 is a wasteful number, since it uses less digits than its factorization.

3295249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3295249920 is about 57404.2674371862. The cubic root of 3295249920 is about 1488.0908720084.

The spelling of 3295249920 in words is "three billion, two hundred ninety-five million, two hundred forty-nine thousand, nine hundred twenty".