3425307891264 has 1008 divisors, whose sum is σ = 12449274364800. Its totient is φ = 913621524480.

The previous prime is 3425307891253. The next prime is 3425307891277. The reversal of 3425307891264 is 4621987035243.

3425307891264 is a `hidden beast` number, since 3 + 4 + 2 + 530 + 7 + 89 + 1 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3425307891264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3033930252 + ... + 3033931380.

It is an arithmetic number, because the mean of its divisors is an integer number (12350470600).

It is a 1-persistent number, because it is pandigital, but 2⋅3425307891264 = 6850615782528 is not.

Almost surely, 2^{3425307891264} 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 3425307891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224637182400).

3425307891264 is an abundant number, since it is smaller than the sum of its proper divisors (9023966473536).

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

3425307891264 is a wasteful number, since it uses less digits than its factorization.

3425307891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3425307891264 in words is "three trillion, four hundred twenty-five billion, three hundred seven million, eight hundred ninety-one thousand, two hundred sixty-four".