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3379406472 = 2332132172312
BaseRepresentation
bin1100100101101101…
…1010011010001000
322201111221122011200
43021123122122020
523410112001342
61315200224200
7146513324001
oct31133323210
98644848150
103379406472
111484650112
127a390b060
1341b195500
14240b6a1a8
1514ba3a94c
hexc96da688

3379406472 has 324 divisors, whose sum is σ = 10878607935. Its totient is φ = 947082240.

The previous prime is 3379406389. The next prime is 3379406473. The reversal of 3379406472 is 2746049733.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1370036196 + 2009370276 = 37014^2 + 44826^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=41106.

It is a super-2 number, since 2×33794064722 = 22840776205990973568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3379406473) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 109013097 + ... + 109013127.

Almost surely, 23379406472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379406472

3379406472 is an abundant number, since it is smaller than the sum of its proper divisors (7499201463).

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

3379406472 is a wasteful number, since it uses less digits than its factorization.

3379406472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3379406472 is about 58132.6626949084. The cubic root of 3379406472 is about 1500.6525267647.

The spelling of 3379406472 in words is "three billion, three hundred seventy-nine million, four hundred six thousand, four hundred seventy-two".