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3397885920 = 25325111329569
BaseRepresentation
bin1100101010000111…
…1001111111100000
322202210201111012200
43022201321333200
523424324322140
61321100253200
7150126360642
oct31241717740
98683644180
103397885920
111494021a90
127a9b41200
13421c657b0
142433ba892
1514d48b030
hexca879fe0

3397885920 has 576 divisors, whose sum is σ = 14116939200. Its totient is φ = 732856320.

The previous prime is 3397885873. The next prime is 3397885921. The reversal of 3397885920 is 295887933.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397885921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5971396 + ... + 5971964.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 23397885920 is an apocalyptic number.

3397885920 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 3397885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058469600).

3397885920 is an abundant number, since it is smaller than the sum of its proper divisors (10719053280).

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

3397885920 is a wasteful number, since it uses less digits than its factorization.

3397885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 3397885920 is about 58291.3880431750. The cubic root of 3397885920 is about 1503.3828717174.

The spelling of 3397885920 in words is "three billion, three hundred ninety-seven million, eight hundred eighty-five thousand, nine hundred twenty".