3295778640000 has 1920 divisors, whose sum is σ = 14212618506240. Its totient is φ = 661478400000.

The previous prime is 3295778639929. The next prime is 3295778640041. The reversal of 3295778640000 is 468775923.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6301679739 + ... + 6301680261.

It is an arithmetic number, because the mean of its divisors is an integer number (7402405472).

Almost surely, 2^{3295778640000} is an apocalyptic number.

3295778640000 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 3295778640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106309253120).

3295778640000 is an abundant number, since it is smaller than the sum of its proper divisors (10916839866240).

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

3295778640000 is a wasteful number, since it uses less digits than its factorization.

3295778640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 3295778640000 in words is "three trillion, two hundred ninety-five billion, seven hundred seventy-eight million, six hundred forty thousand".