3295416960 has 320 divisors, whose sum is σ = 12840616800. Its totient is φ = 798750720.

The previous prime is 3295416959. The next prime is 3295416967. The reversal of 3295416960 is 696145923.

It is a tau number, because it is divible by the number of its divisors (320).

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 (3295416967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 567351 + ... + 573129.

Almost surely, 2^3295416960 is an apocalyptic number.

3295416960 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 3295416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420308400).

3295416960 is an abundant number, since it is smaller than the sum of its proper divisors (9545199840).

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

3295416960 is a wasteful number, since it uses less digits than its factorization.

3295416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5800 counting only the distinct ones).

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

The square root of 3295416960 is about 57405.7223628446. The cubic root of 3295416960 is about 1488.1160159283.

The spelling of 3295416960 in words is "three billion, two hundred ninety-five million, four hundred sixteen thousand, nine hundred sixty".