3257166000 has 320 divisors, whose sum is σ = 12133794816. Its totient is φ = 742912000.

The previous prime is 3257165987. The next prime is 3257166037. The reversal of 3257166000 is 6617523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120549 + ... + 1123451.

Almost surely, 2^3257166000 is an apocalyptic number.

3257166000 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 3257166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066897408).

3257166000 is an abundant number, since it is smaller than the sum of its proper divisors (8876628816).

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

3257166000 is a wasteful number, since it uses less digits than its factorization.

3257166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3257166000 is about 57071.5866259210. The cubic root of 3257166000 is about 1482.3359143554.

The spelling of 3257166000 in words is "three billion, two hundred fifty-seven million, one hundred sixty-six thousand".