3269714040 has 640 divisors, whose sum is σ = 12702096000. Its totient is φ = 749371392.

The previous prime is 3269714039. The next prime is 3269714059. The reversal of 3269714040 is 404179623.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3269713986 and 3269714004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36738316 + ... + 36738404.

It is an arithmetic number, because the mean of its divisors is an integer number (19847025).

Almost surely, 2^3269714040 is an apocalyptic number.

3269714040 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 3269714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351048000).

3269714040 is an abundant number, since it is smaller than the sum of its proper divisors (9432381960).

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

3269714040 is a wasteful number, since it uses less digits than its factorization.

3269714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3269714040 is about 57181.4134138008. The cubic root of 3269714040 is about 1484.2370123934.

The spelling of 3269714040 in words is "three billion, two hundred sixty-nine million, seven hundred fourteen thousand, forty".