3250761164000 has 384 divisors, whose sum is σ = 9250620567552. Its totient is φ = 1099672934400.

The previous prime is 3250761163961. The next prime is 3250761164047. The reversal of 3250761164000 is 4611670523.

3250761164000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 845010077 + ... + 845013923.

It is an arithmetic number, because the mean of its divisors is an integer number (24090157728).

Almost surely, 2^{3250761164000} 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 3250761164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625310283776).

3250761164000 is an abundant number, since it is smaller than the sum of its proper divisors (5999859403552).

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

3250761164000 is a wasteful number, since it uses less digits than its factorization.

3250761164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 3250761164000 in words is "three trillion, two hundred fifty billion, seven hundred sixty-one million, one hundred sixty-four thousand".