3395294432000 has 144 divisors (see below), whose sum is σ = 8478322725600. Its totient is φ = 1354871091200.

The previous prime is 3395294431987. The next prime is 3395294432039. The reversal of 3395294432000 is 2344925933.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 13281386 + ... + 13534614.

It is an arithmetic number, because the mean of its divisors is an integer number (58877241150).

Almost surely, 2^{3395294432000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395294432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239161362800).

3395294432000 is an abundant number, since it is smaller than the sum of its proper divisors (5083028293600).

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

3395294432000 is an equidigital number, since it uses as much as digits as its factorization.

3395294432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253679 (or 253655 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 44.

The spelling of 3395294432000 in words is "three trillion, three hundred ninety-five billion, two hundred ninety-four million, four hundred thirty-two thousand".