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3379061376 = 273223731747
BaseRepresentation
bin1100100101101000…
…0110001010000000
322201111022002210100
43021122012022000
523410014431001
61315145002400
7146510355615
oct31132061200
98644262710
103379061376
111484434909
127a3783400
1341b0a4402
14240aba50c
1514b9bd586
hexc9686280

3379061376 has 192 divisors, whose sum is σ = 10291245120. Its totient is φ = 1062014976.

The previous prime is 3379061369. The next prime is 3379061377. The reversal of 3379061376 is 6731609733.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33790613762 = 22836111565550026752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3379061377) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1933335 + ... + 1935081.

It is an arithmetic number, because the mean of its divisors is an integer number (53600235).

Almost surely, 23379061376 is an apocalyptic number.

3379061376 is a gapful number since it is divisible by the number (36) 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 3379061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145622560).

3379061376 is an abundant number, since it is smaller than the sum of its proper divisors (6912183744).

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

3379061376 is a wasteful number, since it uses less digits than its factorization.

3379061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 3379061376 is about 58129.6944426857. The cubic root of 3379061376 is about 1500.6014441444.

The spelling of 3379061376 in words is "three billion, three hundred seventy-nine million, sixty-one thousand, three hundred seventy-six".