3495252992000 has 896 divisors, whose sum is σ = 11012370550272. Its totient is φ = 1075838976000.

The previous prime is 3495252991939. The next prime is 3495252992041. The reversal of 3495252992000 is 2992525943.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 3495252992000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7648255772 + ... + 7648256228.

It is an arithmetic number, because the mean of its divisors is an integer number (12290592132).

Almost surely, 2^{3495252992000} 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 3495252992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506185275136).

3495252992000 is an abundant number, since it is smaller than the sum of its proper divisors (7517117558272).

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

3495252992000 is an equidigital number, since it uses as much as digits as its factorization.

3495252992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 50.

The spelling of 3495252992000 in words is "three trillion, four hundred ninety-five billion, two hundred fifty-two million, nine hundred ninety-two thousand".