3269661000 has 256 divisors, whose sum is σ = 10988939520. Its totient is φ = 806400000.

The previous prime is 3269660987. The next prime is 3269661013. The reversal of 3269661000 is 1669623.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3269660987) and next prime (3269661013).

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, 3110475 + ... + 3111525.

It is an arithmetic number, because the mean of its divisors is an integer number (42925545).

Almost surely, 2^3269661000 is an apocalyptic number.

3269661000 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 3269661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494469760).

3269661000 is an abundant number, since it is smaller than the sum of its proper divisors (7719278520).

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

3269661000 is a wasteful number, since it uses less digits than its factorization.

3269661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3269661000 is about 57180.9496248532. The cubic root of 3269661000 is about 1484.2289867826.

The spelling of 3269661000 in words is "three billion, two hundred sixty-nine million, six hundred sixty-one thousand".